Abstract: We discuss a certain result from 1970. The proof is of this is easy to understand and elegant, and the result has been widely discussed and improved upon since. Remarkably, it was recently...

Abstract: An attractive approach for down-scaling a Big Data problem is to partition the dataset into subsets before fitting. For a dataset with a large number of variables, this is best done via part...

Abstract: A structure S is called homogeneous if every isomorphism between finitely generated substructures of S extends to an automorphism of S. Thus homogeneity means that any local symmetry is glo...

Abstract: The session will give a brief introduction to the software, Grid Algebra, and discuss some of the theoretical perspectives which have underpinned its design. This will include some of ways i...

Abstract: We study the parameter space of the complex standard family $$ F_{\alpha,\beta}(z)=z+\alpha+\beta \sin z, $$ where the parameter $0<\beta\ll 1$ is considered to be fixed and the bifurcation...

Abstract: During the last two decades the concept of maths anxiety has received increased attention, including many strands to the empirical investigation of it. In my talk I will discuss research fi...

Abstract: Understanding the mechanism of rainfall from ice-free cumulus clouds is a challenging problem, because of the low rate of collisions between microscopic water droplets settling under grav...

Abstract: Change points are a very common feature of big data that arrive in the form of a data stream. We study high dimensional time series in which, at certain time points, the mean structure chang...

Abstract: Super-oscillatory functions are band-limited: they have finite support under the Fourier transform, and thus have a maximum frequency Fourier component. Intuitively, one might expect that ...

Abstract: What would you include in a course preparing teachers to teach A level mathematics, and how would you teach it? In this seminar I will present thinking initiated by these questions and deve...

Abstract: Let f be a transcendental entire function of finite order and U an unbounded, invariant Fatou component of f. When considering the restriction of f to U we can associate to it an inner func...

Abstract: In this talk, I will be discussing Lyapunov exponents for matrix cocycles related to substitution systems, which arise from a renormalization scheme involving relative frequencies of subwor...

Abstract: Conder, Potocnik and Siran have classified regular hypermaps on groups of the form PGL(2,q) and PSL(2,q). In their classification they provide explicit forms of the generating matrices of th...

Abstract: The Denjoy–Wolff theorem states that the iterates of a holomorphic self-map of the unit disc converge locally uniformly to a point. However, the dynamics of compositions of multiple maps is ...

Abstract: The escaping set is a widely studied object in complex dynamics. For a transcendental entire function, there exist points in the escaping set which escape arbitrarily slowly, by a result of...

Abstract|: For many transcendental entire functions, the escaping set has the structure of a Cantor bouquet, consisting of uncountably many disjoint curves. Rippon and Stallard showed that there are ...

I will discuss the recent development and exploitation of connections between the theory of iteration of polynomial maps of the complex numbers, and the arithmetic of elliptic curves. This connection ...

The dynamics of many physical systems often evolve to asymptotic states that exhibit spatial and temporal variations in their properties such as density, temperature, etc.

This talk will include a brief history of Bletchley Park and its operation during World War II. We will demonstrate a real, working Enigma machine.

To follow

Abstract: Since the seminal paper by Kennedy and O’Hagan in 2001, the calibration of computer models using Gaussian process emulators has represented a gold standard for scientists and statisticians ...

Abstract: Despite a vast body of research that informs us about the general properties of spatial macroecological patterns of species-rich ecosystems, we still lack a satisfactory theory that explain...

Abstract: The aim of this talk is to describe an (empirical) Bayes estimator for parametric and nonparametric regression functions with good frequentist properties. Our estimator is the posterior dis...

Abstract: Neural mass models have been actively used since the 1970s to model the coarse grained activity of large populations of neurons and synapses. They have proven especially fruitful for under...

Abstract: Swelling is a process in which a porous material spontaneously grows by absorbing additional pore fluid. Polymeric hydrogels are highly deformable materials that can experience extreme volu...

Abstract: In a feature allocation model, each data point is described by a collection of latent features, possibly unobserved. For example, we might classify a corpus of texts by describing each docu...

Abstract: We describe a geometric method developed by Lester R Ford in the 1930s to visualize the calculation of continued fractions, and we use the technique to give an alternative geometric proof o...

Abstract: Starting from familiar number expansions (decimal, binary etc), we develop the dynamic expansions that form the basis of general quasiperiodic renormalisation, a review of which forms the s...

Abstract: Estimation of covariance and inverse covariance (precision) matrices is an essential ingredient to virtually every modern statistical procedure. When the dimension, p, of the covariance mat...

To follow

Abstract: The (Danish-born) German mathematician Olaus Henrici (1840–1918) studied in Karlsruhe, Heidelberg and Berlin before making his career in London, first at University College and then, from 1...

Swelling is a process in which a porous material spontaneously grows by absorbing additional pore fluid. Polymeric hydrogels are highly deformable materials that can experience extreme volume changes during swelling.

Abstract: In this seminar Alf will consider what it means to master a mathematical concept. In many studies and curricula there is an assumption that learning must begin with 'processes' that are pro...

Abstract: We propose a novel Bayesian nonparametric process prior for modelling a collections of random discrete distributions. This process is defined by combining a Generalised Dirich- let Process ...

Abstract: Extremal Graph Theory began with a theorem of Mantel in 1907, stating that every $n$-vertex graph with more than $n^2/4$ edges contains at least one triangle. Erd\H{o}s asked for a quantita...

Abstract: Over the last few years some classical ideas from topology (simplicial complexes, open coverings, homology) have come to the forefront of data science, offering some exciting new tools to understand complicated data sets and discover new s

Abstract: We will discuss discreteness of certain ultra-parallel complex hyperbolic triangle groups, namely of groups of isometries of the complex hyperbolic plane generated by complex reflections in three ultra-parallel complex geodesics two of whi

Let G be a group of homeomorphisms of a space X. We shall discuss what it means for a group to be discrete and/or act discontinuously on X, and how one can tessellate X by constructing a fundamental r...

Abstract: Chain Event Graphs will be introduced: they are statistical models for a set of random variables whose joint probability function is described in terms of a graph.

Abstract: This talk covers the period from around 1890, when graph theory was mainly a collection of isolated results, to the 1990s when it had become part of mainstream mathematics. Among many other...

Abstract: Detecting interactions when analysing data sets created by large cohort or association studies is becoming increasingly important in Biostatistics.

Abstract: In this talk I will present the research from my PhD. I studied the iteration of holomorphic self-maps of C*, the complex plane with the origin removed, for which both zero and infinity are...

"An SL_2-tiling is an infinite grid of positive integers such that each adjacent 2x2-submatrix has determinant 1. These tilings were introduced by Assem, Reutenauer, and Smith for combinatorial purpo...

Abstract: In this talk we will demonstrate the apparatus of the classical density functional theory (DFT), which is a valuable computational statistical-mechanical framework to analyze fluids at the ...

Abstract: Randomised controlled trials in Alzheimer’s disease typically use a composite score, made up of a linear combination of items from multiple sub-scales or cognitive domains, as the primary o...

The microgrid represents a unique generation and distribution paradigm that can enable the vision of sustainable and resilient future power systems. The present talk covers several aspects of the oper...

Abstract to follow

2.00 - 2.30 Simon Albrecht (Liverpool), Speiser Class Julia sets with dimension near 1
2.30 - 3.00 Leticia Pardo-Simon (Liverpool), Escaping dynamics in the cosine family
3.00 - 3.30 Trevor Clark (I...

"Bubbles are ubiquitous in science and technology: they have a role in food science and in volcanoes, in chemical plants and in global warming models. Sometimes they are desired (e.g. in cleaning), so...

The eventual hyperbolic dimension is introduced as a way to characterize the weight of the hyperbolic sets near infinity. It can be used as a criterion of impediment to the existence of conformal measures.

Summer Postgraduate Research Student Day - various talks

Starting with a substitution tiling, such as the Penrose tiling, we demonstrate a method for constructing infinitely many new substitution tilings.

When a new phase is nucleated in a martensitic solid phase transformation, it has to fit geometrically onto the parent phase, forming interfaces between the phases accompanied by possibly complex microstructure.

Evidence from Randomised Controlled Trials (RCT) are often viewed as the gold standard. However, there are many situations where we will not be able to conduct a RCT.

Many computationally hard voting problems are known to become tractable when voters' preferences belong to a restricted domain, such as those of single-peaked or single-crossing preferences.

Parking functions were originally introduced in the context of a simple hashing procedure and have since then been studied intensively in combinatorics.

We investigate a simple differential equation model of a power system incorporating conventional and renewable generation and storage, in which the agents respond to a price signal determined by the mismatch between generation and demand-net-of-renew

Data assimilation is the process of systematically including (often noisy) data into a forecast. It is now widely used in numerical weather prediction and its positive impact on the accuracy of weather forecasts is unquestionable.

When performing multiple regression analysis using data from multiple studies, one often faces the issue of different studies having measured different sets of variables.

This study applies a detailed time-step analysis to low-carbon scenarios for the UK in year 2050, provided by the DECC 2050 Calculator. We look at the increased need for energy storage to accommodate variations in electricity supply and demand.

“Muß es sein?” So wrote Beethoven in an epigraph to his last string quartet. In today’s great quest for the Theory of Everything, physicists are led to ask the same: Must it be so?

Geneva and Lausanne were among the earliest Newtonian outposts in Europe. I will offer an overview of the context, the main actors and editorial enterprises that made such an early adoption of mathematical Newtonianism possible.

In this talk we introduce semigroups of Möbius transformations, and to each of these we associate two subsets of the Riemann sphere – the limit sets of the semigroup.

Despite the promise of big data, inferences are often limited not by sample size but rather by systematic effects.

A static column of liquid supported in a fluid of the same density will tend to disintegrate as a result of the Rayleigh capillary instability associated with the interfacial tension between the two liquids.

A set S of positive integers is sum-free if for all a,b in S a+b is not in S. Any finite sum-free set of positive integers is contained in a strictly larger sum-free set, so we tend to frame questions in terms of sum-free sets of {1,...,n}.

Delone sets are discrete infinite sets of points in the plane without arbitrarily large holes.

We obtain results for heat flow problems on Euclidean space R^m ,m ≥ 2, where the initial temperature distribution is the characteristic function of a bounded, open set D.

We consider a stochastic or second-order extension of the seminal Johansen-Ledoit-Sornette model. During a bubble prices spike upwards.

The classical Denjoy-Wolff theorem asserts that all orbits of a fixed point free holomorphic self-mapping of the open unit disc in the complex plane, converge to a unique point in the boundary of the disc.

In recent years random sets were recognized as a valuable tool in modelling different processes from fields like biology, biomedicine or material sciences.

We discuss an important class of functions denoted Quasiperiodic Sums and Products which link the study of critical phenomena in diverse fields such as the birth of Strange Non-Chaotic Attractors, Critical KAM Theory, and q-series (much used in Strin

The moving contact line problem occurs when attempting to model the movement of the location where two fluid phases and a solid meet, as occurs when droplets spread (e.g.

Experimental and theoretical results regarding physical properties of blood at the microscale will be presented.

Mutation is a random change of a genetic sequence encoding an organism, and because it often has deleterious effect on fitness, mutation is traditionally viewed as damage that should be minimised.

Let f be a holomorphic function on the unit disc, and let (S_{n_k}) be a subsequence of its Taylor polynomials about the origin.

In the course of his life Hermann Weyl (1885—1955) wrote on numerous aspects of pure mathematics and mathematical physics, including the theory of Riemann surfaces, the theory of Lie groups, and the general theory of relativity.

The Art of Garden and Landscape Design and the Mathematical Sciences in the Early Modern Period

Over the last two decades, multivariate sign and rank based methods have become popular in analysing multivariate data. In this talk, we present a classification methodology based on the distribution of multivariate rank functions.

Large electricity networks - such as the GB national grid - must be kept balanced on a minute-by-minute basis. Heretofore this has been largely a case of predicting demand and scheduling generation (necessarily some hours ahead) so as to meet it.

The permeation of biological ion channels is shown to be governed by Coulomb blockade in close analogy with conduction in semiconductor quantum dots.

When iterating an entire function in the plane, there are often domains where all iterates behave 'nicely'. These domains are called Fatou components.

Fluid dynamics are often modeled and estimated from the Lagrangian perspective.

The kinetics of various mechanisms of non-equilibrium cluster growth such as aggregation or exchange-driven growth are characterised by an interaction kernel, K(x,y), which specifies the average rate of interaction of particles having sizes x and y r

Model categories were developed in the 1960s to describe the rational homotopy theory of topological spaces. They define axiomatically what it means for two morphisms to be homotopic.

Kangaroos, card tricks and discrete logarithms

Inhomogeneous iterated function systems are natural generalisations of the classic iterated function systems, commonly used to generate examples of fractal sets. The key difference is, one begins wit...

Suppose we have an order relation on a class ${\bf G}$ of graphs. We say that this relation is well-quasi order WQO if ${\bf G}$ does not contain an infinite antichain. WQO relations are an important part of the modern graph theory research.

The classical Mandelbrot set M is the subset of parameter space for which the Julia set of the quadratic polynomial z^2 + c is connected. Two analogous connectivity loci are M1 for the family of ratio...

The wrapped Cauchy distribution on the circle and its bivariate extension and Inference for a bivariate wrapped Cauchy model for data on the torus.

The recombination equation from population genetics is a non-linear ODE that can nevertheless be solved completely.
The solution, which is recursive in nature, employs methods from convex analysis, ...

Abstract: Faced with a new time series a statistician has many questions to ask. What kind of models are appropriate? Is the series stationary? How can I produce good forecasts? This talk advertises a...

Abstract: Linear discriminant analysis (LDA) is a commonly used method for classifying a new
observation into one of g-populations. However, in high-dimensional classification
problems the classical L...

Abstract: Hotelling’s T2 and Mahalanobis distance are widely used in the statistical analysis
of multivariate data. When either of these quantities is large, a natural question is:
How do individual v...

Abstract:Cross-sectional data on age-specific prevalence may be used to estimate the agespecific
force of infection (FOI), the rate at which susceptible individuals acquire
infection. With a sample ta...

Abstract: We use results from approximation theory to construct examples of transcendental self-maps of the punctured plane with wandering domains and Baker domains that accumulate to zero and/or inf...

Abstract: In this talk I will discuss a problem which has rather unusual origins in the rules of a BBC quiz show. The rules can be generalised in a natural way to describe a problem in clique decompo...

Abstract: In the 1980's Richard Moekel and Caroline Series independently discovered an elegant method for representing continued fractions in the hyperbolic plane by considering the sequence of cuts ...

Abstract: The theory of aperiodic order is the mathematical theory of quasicrystals. These are materials that have pure point diffraction but lack lattice symmetry. Systems from symbolic dynamics are...

To follow

Abstract: The degree-diameter problem is a search for graphs of given degree and diameter that are extremal in the sense that they have the greatest possible order. In this talk we address the sub-pr...

Abstract: In the last years, ideas and methods from network science have been applied to study the structure of time series and signals, thereby building a bridge between nonlinear dynamics, time s...

Abstract: Understanding the interaction of liquids with solids (wetting) and other liquid bodies (coalescence) holds the key to optimizing a whole host of technological processes, including a number ...

To follow

Abstract: The first part of the seminar will describe a class of stochastic point process models, based on doubly stochastic Poisson processes, for modelling fine-scale rainfall. We examine the applic...

Abstract: This talk investigates the discovery of an intriguing and fundamental connection between the famous but apparently unrelated work of two mathematicians of late antiquity, Pappus and Diophan...

Abstract: Up until the mid-70s the kind of spectra most people had in mind in the context of theory of Schrodinger operators were spectra occurring for periodic potentials and for atomic and molecular...

Abstract: We will present several issues connected with the study of irreversible dynamics. In particular, we shall focus on hypoelliptic/hypocoercive processes and in this context discuss: i) expone...

Abstract: The "questions and answers" genre of mathematical journals enjoyed a wide-ranging popularity in Britain throughout the eighteenth and nineteenth centuries. This genre provided a publication...

Abstract: A geometric solution to a cubic equation may seem peculiar to modern eyes, but the study of cubic equations (and indeed much of early algebra) was initially motivated by geometric problems....

Abstract: The objective of this work is to evaluate multiple imputation (MI) methods for imputing missing data in observational health studies with repeated measurements with particular focus on incom...

Abstract: We will discuss dynamical systems given by iterating a unitary operator on a normalized initial state in a separable Hilbert space. This defines a probability distribution which varies in ti...

Abstract: The local structure of fractal sets may have important implications for properties such as light scattering or network connectivity. It is therefore of interest to understand the statistics...

Abstract: We consider a dynamical partition of the complex plane based on the nature of the orbits of points under iteration by an entire function. Orbits may tend to infinity (in which case we say ...

Abstract: : The enumeration of the class of permutations avoiding 1324 is notorious for its difficulty. Even the asymptotic growth rate of the 1324-avoiders is currently unknown, although it has bee...

Abstract: The celebrated Graph Minor Theorem tells us that every infinite collection of graphs contains one graph which is a minor of another, so graphs are "well-quasi-ordered with respect to the mi...

Abstract:Projective shape is the information in a geometric object that is invariant under projective transformations. The main application is to camera images, where a projective transformation corr...

Abstract: A cut and project set is a discrete set obtained by projecting a certain subset of the integer lattice onto a subspace. This procedure has connections to features of Diophantine properties o...

Abstract: Weighted projective spaces are interesting through many lenses: as natural generalisations of ordinary projective spaces, as toric varieties and as orbifolds. From the point of view of algeb...

Abstract: Beauville surfaces are a class of rigid complex surfaces that have many nice geometric properties and were first introduced by Catanese around 15 years ago. Much of what makes this class of...

Abstract: More than 100 years ago, Thomson and Tait's classic "Treatise on Natural Philosophy" cautioned its readers against "considering the formula and not the fact as physical reality". Deciding ...

Abstract:: In distance sampling, distances of detected animals from a line or point are used to estimate animal density and abundance. Conventional distance sampling is a hybrid method; probability of...

Details to follow

Abstract: In 1936 Hall showed that Möbius inversion could be applied to the lattice of subgroups of a finite group G in order to determine the number of n-bases of G, that is, generating sets of G of...

We partition the fast escaping set of a transcendental entire function into two subsets, the maximally fast escaping set and the non-maximally fast escaping set. These sets have strong dynamical prope...

What dynamical features do two commuting functions share? It is known since Julia and Fatou that any two commuting rational functions have the same Julia set, and the families of commuting rational f...

Teichmüller theory's goal is to study deformations of the complex structure of a Riemann surface. In the 80's, McMullen and Sullivan introduced an analogue of this theory in the context of iterations ...

External or internal random fluctuations are ubiquitous in many physical systems and can play a key role in their dynamics often inducing a wide variety of complex spatio-temporal phenomena, including...

Abstract: In epidemiological research, a health effect is frequently associated with protracted exposures of varying intensity, with the risk being dependent on the specific exposure pattern sustaine...

Strange non-chaotic attractors (SNAs) have been shown to occur in a broad class of quasi-periodically forced systems and have been a prominent topic of research over the past three decades. In this se...

We consider the problem of finding those finite sets of real numbers with the property that every continued fraction with coefficients from one of those sets converges. It turns out that there are str...

Abstract: A point $x$ is said to `escape to infinity' if the sequence of iterates $f^k(x)$ tends to infinity. The functions $f$ we consider are either analytic on the complex plane or quasiregular on...

This two-day conference, which has received over £3000 in funding from the LMS, ICHM and BSHM, will be held in the Mercure Parkside Hotel, Milton Keynes, from 11 to 12 September 2014.
The aim of the...

Abstract: The degree-diameter problem of graph theory seeks to determine the largest possible number of vertices of a graph with given maximum degree (number of neighbours of a vertex) and diameter (l...

Abstract: We are interested in studying the different rates of escape of points under iteration by transcendental holomorphic self-maps of C*. We do so by comparing them with the iterated maximum and...

Abstract: Let f be a transcendental entire function. The set of points that eventually escape to infinity faster than the iterates of the maximum modulus function is known as the fast escaping set an...

To follow

Abstract: After a brief summary on the existence (or not) of wandering domains on different scenarios we will explain Bishop's construction of transcendental entire functions in Eremenko-Lyubich's cla...

Abstract: Michael Somos noticed that certain quadratic (or bilinear) recurrence relations surprisingly yield sequences of integers. An explanation for this was provided by the further observation that...

Abstract to follow

Abstract: I will discuss an investigation into the stochastic dynamics of entities which are confined to a set of islands, between which they migrate. They are assumed to be one of two types, and in a...

Abstract: We will investigate a two-parameter family of maps of the circle into itself, which we call Double Standard Maps. They are non-invertible analogues of the famous Arnold Standard Maps. I will...

Abstract: The space of rational map of degree d>1 modulo conjugacy by Moebius transformations is not compact. When you consider a diverging sequence, we can see some phenomena called "rescaling limits...

Abstract: In this talk we will discuss a link between geometry of continued fractions and global relations for singularities of complex projective toric surfaces. The results are based on recent devel...

Abstract: The application of molecular semiconductor materials to optoelectronic applications such as solar energy conversion presents both an opportunity, in terms of the vast range of material prope...

Two day event - For more details, see http://mcs.open.ac.uk/energymeeting/

All day event - For more details, see http://osp.open.ac.uk/

Abstract: A Steiner Triple System on a set X is a collection T of 3-element subsets of X such that every pair of elements of X is contained in exactly one of the triples in T. An example considered by...

Over the last few years, a number of dynamical density functional theories ( DDFT) have been developed for describing the dynamics of the one-body density of both colloidal and atomic fluids.

Abstract: An inversion in a permutation is a pair of elements that is "out of order". Let w be any permutation except the identity. Let Av(w) be the set of permutations avoiding w (it is a principal p...

Abstract: One main aspect of the work presented is to show, for certain classes of ordinary differential equations, that all movable singularities of all solutions in the complex plane are either pol...

Abstract: A \emph{transitive triple} $\langle a,b,c\rangle$ is a digraph consisting of the three ordered pairs $(a,b)$, $(b,c)$ and $(a,c)$. For a set $X$, a \emph{directed triple system} (DTS) $\math...

Abstract: Active materials, such as cells and microorganisms, create their own energy. These systems naturally operate out of thermodynamic equilibrium and hence provide a testing ground for theories ...

Abstract: Partial least squares (PLS) is a method for building regression models between independent and dependent variables. When a set of independent variables is measured on several occasions, the...

Abstract
There is no denying that quantifiable prior beliefs exist in medicine. However, turning informally expressed opinions into a mathematical prior distribution is perhaps the most difficult aspe...

I will analyse in detail the construction of asymptotic surfaces in section 17 to 19 of Poincaré (1890), also known as the prize paper. There are two prime reasons for doing so: firstly, this part of ...

I will discuss the difficulties faced by the conventional theory of planet formation, which involves aggregation of microscopic dust particles in a circumstellar disc. These difficulties seem to be be...

Abstract: Stat-JR is a new statistical software package recently developed by the multilevel modelling centre in Bristol in collaboration with colleagues in computer science in Southampton. In this ta...

Abstract: In parallel with the well-established theories of Kleinian groups and complex dynamics, we explore limit sets of semigroups of Mobius transformations. In particular we give three descriptio...

Absract: The Hecke groups are certain groups of Mobius maps that were used by the German mathematician Erich Hecke in his study of Dirichlet series. The discrete Hecke groups were later studied by the...

Tom Archibald, (Simon Fraser University)

Jesper Lützen, (University of Copenhagen)

Eva-Maria Graefe (Imperial College)

Sergey Kuznetsov, (Russian Academy of Sciences, and Saratov State University)

Neil Edwards (Open University)

Chris Sangwin (University of Birmingham)

Mikhail Klin, (Ben-Gurion University of the Negev, Israel)

Amarpreet Rattan, (Birkbeck, University of London )

Michael Wilkinson (OU)

Tuomas Sahlsten (Bristol)

Pablo Shmerkin (Surrey)

Lars Elden (Linkoping, Sweden)

Nikita Sidorov (Manchester)

Nicolai Meinhaussen (Oxford)

Pierre Guillot (Strasbourg)

Paul Clark (Bristol)

Fred Holroyd (OU)

All-day event

Mike Grannell (OU)

Jim Langley (Nottingham)

Giles Harrison (Reading)

All-day event in CMR11

John Britnell (Imperial College)

David Chillingworth (Southampton)

Thomas Jordan (Bristol)

Paul Veschueren (OU)

Sofia Villers (OU)

Yonas Weldeselassie (OU)

David Bevan (OU)

Abstract: The periodic orbits of discrete dynamical systems are determined by permutations. After associating the permutation of an orbit with a matrix, called an orbital matrix, we derive a compositi...

Abstract: A particle moving deterministically in a chaotic spatially extended environment can exhibit normal diffusion, with its mean square displacement growing proportional to the time. Here we cons...

Abstract: The Thue-Morse system is a paradigm of singular continuous diffraction in one dimension. Here, we consider a planar system constructed by a bijective block substitution rule, which is equiva...

Abstract: On the topic of non-serious mathematics, Professor Hardy [1] writes "8712 and 9801 are the only four-figure numbers which are integral multiples of their 'reversals',...and [the proofs] are ...

Abstract: The last decade or so has seen a flurry of activity concerning fluctuation relations; statements about the likely thermomechanical behaviour of systems undergoing processes.

Abstract: The main issue of this presentation consists in the supervised classification when the response variable is binary and its classes distribution is unbalanced.

Abstract: The 2011 Nobel Prize for Physics recognized the use of supernovae data in detecting an apparent acceleration of the universe. The simplest explanation for this is some form of 'dark energy' ...

Abstract: Patterns in permutations are subsequences considered only according to their relative order. For instance 231 occurs as a pattern in 14352 in two ways: as 452 and as 352.

Abstract: 'Boundary ideals' offer a pleasingly general notion to be used as a tool to systematically characterize families of posets. For example, a graph class can be viewed as a poset ordered by a ...

Abstract: : Any response to a changing world needs to be rapid if individuals are to maintain successful reproduction. One way in which mothers ensure successful reproduction is by influencing their ...

Abstract: In 1996 Slonczewski proposed a new method of switching the magnetization direction of a thin magnetic film by means of a spin-polarized charge current. The current is spin-polarized by pass...

To be advised

Abstract: We propose a new method for segmenting a piecewise-stationary, linear time series with an unknown number of change-points. The time series model we use is the nonparametric Locally Stationa...

Abstract: We consider the optimal covering of fractal sets in a two-dimensional space using ellipses which become increasingly anisotropic as their size is reduced. If the semi=minor axis is ϵ and the...

Abstract: I will investigate the ways in which Euler’s correspondence relates to published works by him and his colleagues, and what the correspondence can tell us about Euler’s working practices. In ...

Abstract: Information and communication technology (ICT) consumes energy, but is also an important means of conserving energy. Conventionally, it has done so by optimizing the performance of energy - ...

Abstract: We discuss some of the mathematical, statistical and economic challenges arising in the management and control of future energy systems. Problems of interest include the prediction and inte...

Abstract: Given a finite subset A of a group G, there has been much recent interest in comparing the size of A with that of the double product A.A and (in the case where G is non abelian) the triple p...

Abstract: The heart of this thesis is an exploration of a new triple of natural numbers, (a, b, (ab+1)/(a+b) ). These Hikorski Triples (or HTs) arise from a simple yet evocative mathematical situation...

Because of large uncertainties in mechanistic models used to predict the mean global surface temperature, T, and in box models used to predict the atmospheric carbon dioxide concentration, c, it is hi...

Abstract: Each quadratic irrational has a pre-periodic continued fraction expansion, and each pre-periodic continued fraction converges to a quadratic irrational. The standard proofs are by recurrenc...

Abstract: The problem is this: What are the possible values of the number of vertices, edges, faces, etc on a convex polytope? The talk has three parts. First, the statement of the problem, and its ...

Abstract: In this talk I will explore how concepts from theoretical computer science -- automata and languages -- can be utilised in a combinatorial context such as the theory of pattern avoidance cla...

Abstract: Cardiac surgery can lead to the production of thousands of gaseous emboli. We have developed a virtual stroke model with the aim of understand the effects of this embolisation. Gaseous embo...

Abstract: There are only a few methods for analysing the rate of convergence of an ergodic Markov chain to its stationary distribution. One is the canonical path method of Jerrum and Sinclair. This m...

Abstract: Magnetoencephalography (MEG) is a brain imaging technique that produces a lot of data relating to brain function. This talk discusses a range of techniques that were used to extract useful ...

Abstract: The groups PSL(2,p) act transitively on the p+1 points of the projective line. In Galois' last letter he asked when these groups have a transitive action on less than p+1 points. The most i...

Details to follow

Abstract
Anthropogenic climate change is one of the most important challenges facing society. The associated scientific problems are difficult, urgent and fascinating. Predicting what future climates...

Abstract: In this talk, we are concerned with a 1978 conjecture of Richard
Weiss: there exists a function f such that, if X is a connected vertex-transitive locally primitive graph of valency d, then...

Details to follow

Optical fields propagating in three-dimensional free space are complex scalar fields, and typically contain nodal lines (optical vortices) which may be thought of as interference fringes. Optical vort...

Abstract: 2012 marks the centenary of the death of Henri Poincaré, who was one of the most important mathematicians, physicists, and philosophers of his time, and surely the only one lastingly to infl...

Abstract: The pore-scale structure of granular and porous materials impacts significantly their
macroscale transport and mechanical properties. A systematic several-stage method is described to derive...

Abstract: Modelling In biology is challenging as we are often faced with systems that are complex with many possible alternative model structures, each of which may contain a large number of unknown...

The development and application of experimental methods such as neutron diffraction and the contour method to the study of safety-critical components has provided significant advances in the character...

To follow

Abstract: Mesostructures and chains, loosely bound ordered clusters, have been observed by numerous groups and many attempts have been carried out to understand the interactions involved. Despite cons...

Abstract: We introduce the surveillance conditional predictive ordinate as a general Bayesian on-line surveillance technique that allows us to detect any small area of increased disease incidence. As ...

Abstract: Citation indices, in particular the h-index (the largest number h of a scientist's papers that received at least h citations)

Abstract: Bayesian Networks (BNs) are now widely used and have provided a framework for interrogating models, describing their implicit geometry, estimation and model selection. However many discrete ...

Abstract: The modern hard disk reading head is a revolutionary device which lies at the frontier of technology. It is the first electronic device to utilise the spin degree of freedom of the electron ...

Abstract: Our recent illustrated book The Great Mathematicians is aimed at the general public and outlines the life and work of over 100 mathematicans. In this general-interest and wide-ranging lectur...

Abstract: A well-known fundamental problem in extremal graph theory is the degree/diameter problem, which is to determine the largest (in terms of the number of vertices) graphs or digraphs or mixed ...

The seminal work of Black & Scholes (1973) and Merton (1973) has led
to an explosion of ideas in the theory of the pricing of financial derivatives, in
particular options (and a joint Nobel price for ...

Abstract: A collection of spherical obstacles in the unit ball in Euclidean space is said to be avoidable for Brownian motion if there is a positive probability that Brownian motion diffusing from so...

Abstract: In this talk we will look at examples of infinite designs and see that rather than being esoteric they are pretty much ubiquitous. We restrict our attention to designs with both $t$ and $\l...

Abstract: Take a set A in a finite simple group G. What does the set AA look like? What about AAA? These simple questions have a myriad of applications - to the study of the structure of Cayley graphs...

Abstract: Let G be a simple graph. A G design of order n is a partitioning of the edges of the complete graph K_n into copies of graphs isomorphic to G. The existence problem for G designs is to deter...

Abstract: I shall describe experiments on a test-tube model for rainfall, in which a steady rate of temperature change of partially miscible liquids induces periodic cycles of turbidity and droplet pr...

Abstract: The adventure racer, when competing in mountain navigation events, is
often faced with an over-or-around route choice. Is it quicker to go
over or around a hill when trying to get from a poi...

We will start by describing the history of Richard Thompson's infinite groups F, T and V. We will then discuss Decision problems for these groups.

Abstract: In this talk, I will demo work in progress on a Web 2.0 infrastructure for mathematical problem solving. The aim of this project is to make undergraduate-level mathematics easier to learn,...

Abstract:
We show that the escaping sets and the Julia sets of bounded type transcendental entire functions of order become 'smaller' as . More precisely, their Hausdorff measures are infinite with ...

Abstract: We will discuss the inherent problems which arise when computing with matrix groups defined over finite fields. We will survey existing techniques and describe promising alternatives which ...

Abstract:
The talk will discuss composite likelihood estimation and more specifically methods that use bivariate instead of multivariate marginal probabilities for latent variables models with ordinal...

Abstract: In this talk I will outline a stretch-fold-shear model of magnetohydrodynamical dynamo growth studied by Andrew Gilbert. This model gives rise to an interesting one-parameter family of func...

Abstract:A map is reversible if it is conjugate to its inverse. Originating in classical mechanics, this concept finds other applications, and there has been substantial work on reversible elements in...

Abstract: Differential equations can be exploited to solve molecular or protein geometric distance problems using a class of distance based energy potentials. We show that energy potentials based on l...

Abstract: Ground-level ozone is a pollutant that is a significant health risk, especially for children with asthma. It also damages crops, trees and other vegetation.
It is a main ingredient of urban...

Abstract: In the framework of nonrelativistic quantum mechanics, we present a study of three topics related to the Aharonov-Bohm (AB) effect.
We always consider a cylindrical solenoid of radius greate...

Abstract: While Victorian publisher Macmillan and Co. are best remembered for their liaisons with literary authors, they published a large number of mathematical ones too. Among the most renown are Pe...

The contemporary mathematical community largely takes for granted the importance of journals for communicating new results and influencing career development. As late as the 1870s, however, the outlet...

Quantum graphs are models for networks of vibrating wires, and are used to probe questions of universality for spectral behaviour in mathematical physics.
In this talk we will describe a new class of ...

http://complex-meeting.open.ac.uk/

Abstract: A folklore result claims that if the asymptotic degree distribution of a random network with n vertices is a power-law with exponent strictly between two and three, then the distance between...

Abstract: The model based on Gaussian process (GP) prior and a kernel covariance function can be used to fit nonlinear data with multi-dimensional covariates. It has been used as a flexible nonparamet...

Abstract
We construct several new classes of transcendental entire functions, f, such that both the escaping set, I(f), and the fast escaping set, A(f), have a structure known as a spider's web. We sh...

Abstract: A relational structure is homogeneous if every isomorphism between finite substructures extends to an automorphism. Homogeneous structures have been widely studied since the foundational wo...

Abstract: The three topics are (1) Volatility Graphics, (2) Garch Squares as Volatile Autoregressive Variables, and (3) Strict Stationarity Aspects of Garch Models. At least on the basis of the speak...

Abstract: A beautiful classical theorem of Koebe states that any finitely-connected domain in the plane is conformally equivalent to a domain bounded by disjoint circles and punctures, and this canoni...

Abstract: A regular map is an embedding of a graph in an orientable surface, such that the orientation preserving automorphism group of the embedding acts regularly on the incident vertex-edge pairs o...

Abstract: It is well-known that the entropy of an unknown stationary source can be consistently estimated using an estimator based on the lengths of long repeated sections of text. I will discuss a me...

Abstract. T.B.A.

Permutation classes, the analogue of hereditary properties of graphs for permutations, are defined as downsets in the permutation containment partial ordering, and are most commonly described as the c...

Abstract:
The way particles suspended in a turbulent gas flow are transported and segregated by turbulent structures is crucial in many atmospheric and industrial applications such as powder producti...

Abstract: The 'distance set' D(F) of a subset F of n-dimensional Euclidean space is the set of all distances realised between pairs of points in F. A natural question is how 'big' D(F) must be, given ...

Abstract: Phil will describe the underlying themes of a joint EPSRC research project exploring a surprising connection between two conjectures of Baker and Eremenko. Gwyneth will then talk about the p...

When the swine flu pandemic started in spring 2009, early estimates of the pandemic severity, including indicators such as the case fatality ratio (cfr), were of highest importance to public health pl...

It is becoming ever more clear that liquid crystals play an essential role in the self-organization and self-assembly of biological materials. I shall discuss the occurrence of liquid crystals in biol...

Abstract:
We use Baire category and simple probability to discuss the connection between the algebraic structure of a set and the speed with which a Fourier transform living on that set can decrease t...

Abstract: This presentation will demonstrate two technologies which can be used to support the online teaching of mathematics.
1) WorldWideWhiteboard (R) which is a web conferencing system that offe...

t.b.a

Abstract: The talk proposes Metropolis adjusted Langevin and Hamiltonian Monte Carlo sampling methods defined on the Riemann manifold to resolve the shortcomings of existing Monte Carlo algorithms wh...

Abstract: Homologous genes may have adapted to perform different functions. Typically, this functional specificity is endowed by just a few residues in the protein sequence. Can we detect these specif...

Abstract
We consider classical inequalities such as Poincare-, Sobolev-, Trudinger-type inequalities, which are known to be valid in domains with sufficiently regular boundaries. We discuss the valid...

Abstract:
Public transport systems are likely to be always subject to delays, and a disincentive to passengers is the complexity of planning journeys in the presence of such uncertainty. Most people,...

Abstract:
In this presentation I will give an overview of pen-based technologies used (and also those trialled but not adopted) for mathematics distance education at the University of Southern Queens...

Host-parasitoid systems are common in the insect world. Parasitoids are typically flies or wasps while caterpillars are a classic example of a host. A key aspect to modelling host-parasitoid interact...

Abstract|: In this talk we shall analyse the standard Susceptible-Infected-Recovered (SIR) differential equation model of disease dynamics with density-dependent death rate and seasonality in the bir...

Abstract: In clouds the adiabatic cooling drives uprising air across the cloud point and hence causes nucleation of cloud droplets which subsequently coarsen and eventually lead to rain. In clouds nuc...

Abstract: This talk has two parts. The first is a survey. It shows how deep results in the topology of algebraic varieties produce, via cut polytopes, graph invariants. These invariants seem to be ne...

Abstract: We study stochastic acceleration, that is the long time
motion of fast particles moving through time-dependent random force
fields with correlations that decay rapidly in space, but not ne...

Abstract:: In this talk I will describe the computation of the joint probability density function of the extreme eigenvalues of the Gaussian Unitary Ensembles using ladder operators which arise in un...

Abstract:
Recent methods in Bayesian simulation have provided ways of evaluating posterior distribution in the presence of analytically or computationally intractable likelihood functions. Collectivel...

Abstract: I'll discuss various numerical techniques to calculate the determinant of the Laplacian in a class of hyperbolic Riemann surfaces. The class is obtained by using the Fenchel-Nielsen model,...

Abstract:
Results for the light propagation through a stack of two media with different diffractive indices are presented, which are aligned according to different quasiperiodic sequences determined b...

Abstract: There are two fundamental results in the classical theory of metric Diophantine approximation: Khintchine's theorem and Jarnik's theorem. The former relates the size of the set of well appro...

Abstract:In 1696 the Marquis de L’Hospital published the Analyse des infiniment petits, the first systematic educational work on differential calculus. It was based on Johann Bernoulli’s Lectiones de ...

Abstract: Metropolis-Hastings methods form a widely used class of MCMC (Markov Chain MonteCarlo) methods for sampling from complex probability distributions. We will discuss popular algorithms like ...

Abstract to follow

Open University Maths MSc eColloquium

Nigel Davies is a specialist in the design, assessment and modelling of radiological plant and operations. He has a B.Sc. degree in Theoretical Physics and has studied several topics with the OU.
He...

Abstract: Mixing is a fundamental notion from probability that provides important invariants for classifying dynamical systems. This talk will give a brief survey of the mixing problem for actions gen...

OU Centre for the History of the Mathematical SciencesHistory of Mathematics lectures
Thursday 4th June in Room M302
For the latest of our history of maths afternoons, the OU Centre for
the History o...

'THE EMBALMER'S BOOK OF RECIPES' TALK: OU, June 1st 2009
"QUASI-FICTIONAL"
One of the characters in Ann Lingard's latest novel, The Embalmer's Book of Recipes, is a mathematician working on quasicr...

Let f be an entire function; then f is either a polynomial or an entire transcendental map. The objects of main dynamical interest are the Fatou set F(f) of f, defined as the maximal open set where th...

10th Open University Winter Combinatorics Meeting, Details at www. wcm.open.ac.uk

Abstract: Very simple constructions involving circles, discs and some combinatorics pop-up unexpectedly in a variety of both pure and applied mathematical contexts. After a brief survey, we shall disc...

Abstract
Let f be a function that is analytic in the unit disc. We give new estimates, and new proofs of
existing estimates, of the Euclidean length of the image under f of a radial segment in the un...

If Charles Dodgson (Lewis Carroll) had not written the Alice books or been a pioneer photographer, would he be remembered as a mathematician, the career he held as a lecturer at Christ Church in Oxfor...

Abstract:
Preponderant positional numeration systems are those ones with an integer base. Rényi in 1957 introduced a generalization - numeration systems with any real number β > 1 as their base - and ...

Abstract
Lagrange in 1771 claimed that there had been no little advance in the subject of solving polynomial equations since the time of Cardano. Lagrange was too good a historian, however, to think t...

Abstract:
In topology, the concept of a "net on a surface" is well developed (see M338). This talk will consider equivariant cellular structures and fixed point sets (suitably defined) for projective ...

Abstract
We show that if X1, …, Xn are a random sample from a log-concave density f in Rd, then with probability one there exists a unique maximum likelihood estimator fn* of f. The use of this esti...

T.B.A.

Abstract
We present an asymptotic analysis of heavy Stokes particle transport in laminar flows. Our goal is to determine under which conditions chaotic particle motion can occur, for a given fluid flo...

Abstract
It is well known that the infinite product , converges if . In this talk we consider infinite compositions
, with a diffeomorphism of the unit interval . Denoting the nonlinearity of t...

Parasitic nematodes only grow whilst they are juveniles. The age at which they mature determines their size as adults, and their adult size determines their rate of egg production. In this trade-off b...

When a vacuum is confined between two perfectly conducting parallel plates quantum fluctuations in the electromagnetic field give rise to a long-range attractive force between the plates. This is cal...

For most of my life I have attempted to communicate mathematics to a
wide range of audiences – through my teaching, public lectures,
publications, and other means. This illustrated lecture explores th...

11.00: Jeremy Gray (OU)
How not to run a department: complex analysis at Berlin in the 19th century
The triumvirate of Kronecker, Kummer and Weierstrass dominated mathematics in Berlin in the second ...

Abstract:
We consider the patterns formed by small rod-like objects advected by a random flow in two dimensions. An exact result indicates that their direction field is non-singular. However, we f...

Abstract: We have recently reported the existence of superlight small bipolarons on lattices formed from triangular plaquettes [J.P.Hague, P.E.Kornilovitch, J.H.Samson and A.S.Alexandrov, Phys. Rev. L...

In 1981, Marialuisa de Resmini conjectured the existence of a combinatorial design with 100 points, having a certain prescribed property. Over the years this became a famous, or infamous, unsolved p...

The classification of grain boundaries in crystals and quasicrystals is intimately related with the existence of similar and coincidence sublattices of the underlying lattice of periods or the corresp...

Abstract
Particles advected in a fluid will collide due to diffusive mechanisms, but as was pointed out by Smoluchowski [Z. f. physik. Chemie, XCII, 129-168, (1917)], macroscopic motion of the fluid ...

Abstract:
This talk describes joint work with Gwyneth Stallard on the structure of the escaping set of a transcendental entire function, that is, the set of points in the complex plane where the itera...

Abstract
The nucleation of new phases, for example the formation of a new crystal on a surface exposed to a supersaturated solution, is typically a random process. Embryonic molecular clusters with ...

In the late 1870’s two papers were published in which G.W. Hill presented a novel method for determining the motion of the Moon. These much-acclaimed papers were a turning point in the history of the ...

In educational and professional science, engineering and mathematics situations we need to be able to represent often complex mathematics in electronic formats. There are diverse means of doing this ...

Abstract: We define a dynamic model of random networks, in which new nodes are added successively and attach to old ones with a probability which depends in a nonlinear way on their current degree. We...

Abstract. This talk introduces LTN, the London Technology Network that was set up to link the academic research base in the wider London area and beyond with industry. LTN offers a forum to promote U...

Asbtract:
The purpose of security engineering is to provide assurance of an adequately secure system. The purpose of computer security requirements analysis is to help provide this assurance, as far ...

Abstract:
Small particles suspended in a turbulent gas can cluster together. It is widely believed that this is due to particles being 'centrifuged' away from vortices. It has also been proposed that...

Abstract: We consider hyperbolic transcendental functions (entire or meromorphic) of finite order satisfying so-called rapid derivative growth condition. We present results of V.Mayer and M.Urbanski c...

The emigration of mathematicians from Europe after 1933 and the ensuing shift of the world centre of mathematics from Europe to the United States is arguably the most important historical result of Na...

Misuse cases are a way of modeling negative requirements, that
is, behaviours that should not occur in a system. In particular,
they can be used to model potential attacks on a system as well as the
s...

Graphs are among the simplest and most universal models for a variety of systems, throughout computer science, engineering, and the life sciences.

Abstract:
Why are pianos always out of tune? Why are there seven colours in the rainbow? What does 31-tone music sound like? Which opera is the same forwards and backwards? What is the meaning of this...

I will introduce this frequently-erupting volcano, and the methods that I have used to try to monitor and predict its behaviour over the past 32 years. The 3 principal methods are levelling, tilt and...

This is the 9th Annual OU Winter Combinatorics Meeting. It will take place place in CMR 11, The programme schedule and abstracts are available as a pdf file at http://puremaths.open.ac.uk/combin/index.htm.

ABSTRACT.
Let f be a transcendental entire function; that is, a holomorphic self-map of the complex plane which is not a polynomial. In 1926, Fatou began the dynamical study of such functions. In par...

In 1981 Noel Baker presented results concerning the types of components of the Fatou set of a transcendental function. He showed that if a transcendental entire function has an invariant Baker domain,...

Abstract to follow

Abstract to follow

The chromatic polynomial tells us the number of proper-colourings of a graph, with a given number of colours, say k. For large values of k the number is relatively well-behaved, as the word ‘polynom...

This talk will report on attempts to prove an old conjecture of Gerald MacLane about the boundary behaviour of analytic functions in the unit disc which are locally univalent.

To measure an observable of a quantum mechanical system leaves it in one of its eigenstates and the result of the measurement is one of its eigenvalues. This process is shown to be a computational res...

Integrable field theories such as the sine-Gordon model have been studied for many years, however it is only recently that boundaries and defects (or shocks) have been taken into account.
Following a ...

Abstract:
The Lorenz system still fascinates many people because of the simplicity of the equations that generate such complicated dynamics on the famous butterfly attractor. The organisation of the d...

Euler's Mathematical Legacy, Mathematical Institute, 24-29 St Giles, Oxford
Jeremy Gray (OU)
Leonhard Euler – the life and work of an 18th-century academician
Euler’s life from 1707 to 1783 almost sp...

Departmental Research Day with contributions from:
Dr Gwyneth Stallard - Escaping points for meromorphic functions
Prof Terry Griggs - Topological design theory
Dr Uwe Grimm, Christian Huck and Dr Ber...

JEREMY GRAY
Euler - The Life and Work of an 18th Century academician
Euler’s life from 1707 to 1783 almost spans the 18th century and his career involved him with all the leading learned Academies of ...

Given a cartesian product of two sets , or, more generally, of two separable metric spaces, one may think of the relation of various fractal dimensions of and with those of . Several authors proved,...

In recent years there has been a significant paradigm shift in mathematical modelling in biological systems towards integrative modelling across a large range of spatial and temporal scales. A typical...

We describe a general method for enumerating the distinct self-similar sets that arise as attractors of certain families of iterated function systems, using a little group theory to analyse the symmet...

Undirected graphical Gaussian models restricts elements of the concentration (inverse covariance) matrix K to being zero whenever the associated variables are conditionally independent given the remai...

Stereo-photogrammetry provides high-resolution data defining the shape of three-dimensional objects. One example of its application is in a collaborative study of the growth of children's faces. The ...

This is the eighth annual OU winter combinatorics meeting. The schedule of talks, titles and abstracts will be available in the year. The meeting is run with the support of the British Combinatorial C...

This talk is concerned with a stochastic model for the spread of an SIR (susceptible > infective >removed) epidemic among a closed, finite population that contains several types of individual and is p...

As part of the SUCCESS project, atmospheric gas concentrations and other variables were measured at 1 s intervals in the upper troposphere during a NASA aircraft flight through and near the anvil of a...

This year's Mathematics Christmas Lecture 'A Mathematician on Call' will be given by Prof Phil Rippon. The lecture will be given in the morning (10.00 am) and repeated in the afternoon (2.00 pm).

DNA microarray technology has now made it possible to investigate thousands of gene expression data simultaneously. In recent years, due to the pioneering work by Eisen et al.

Similar sublattices of the root lattice A_4 are possible for each index that is the square of a non-zero integer of the form m^2+mn-n^2.

The background to the National Centre will be described briefly with reference to Adrian Smith’s report. The vision for the National Centre will be explored with particular reference to using collabo...

Various theoretical and algorithmic aspects of inverse problems in discrete tomography of planar Penrose model sets are discussed. These are motivated by the question of materials science for the reco...

9.00-9.55 Professor Tim Porter (Bangor): "Combinatorics, Topology and Observations"
Abstract: The talk will look at some of the ways in which the classical combinatorial and topological idea of a si...

We review recent rigorous results on renormalization in a variety of quasiperiodically forced systems. Results include a description of (i) self-similar fluctuations of localized states in the Harper ...

Some recent results for the equilibrium and non-equilibrium statistics of a particle which is randomly accelerated by Gaussian white noise are reviewed. Both motion on the half line x > 0 and on the f...

De Morgan's Laws are familiar to any mathematician who has taken an undergraduate course in set theory. Yet it is ironic that the man after whom they were named is remembered almost exclusively for a...

The BBC Radio 4 programme 'In Our Time' on 25 May 2006 will feature a discussion of 'Maths and Music'. Professor Robin Wilson of the Mathematics Department and Gresham Professor of Geometry, will be j...

The set of all triangular embeddings of a complete graph $K_n$ in a surface is a set of complicated combinatorial objects the number of which dramatically increases as $n$ increases. We consider some ...

Schwarz's Lemma implies that if f is a holomorphic self-map of the unit disc with f(0)=0, then |f'(0)| \leq 1. In 1931 Dieudonne proved that under these circumstances |f'(z)| \leq 1 for |z| \leq \sqrt...

Tonelli's Theorem gives sufficient condions on a function F: R^3 \to R to ensure that for (a,A),(b,B) \in R^2 there is an absolutely continuous minimizer u of \int_a^b F(t,u(t),u'(t))dt for which u(a)...

A one dimensional (infinite) sequences over a finite alphabet can be generated by a substitution rule. We will explain how for a certain class of substitutions, so-called Pisot substitution, one can a...

Rethinking the elements – two thousand years of reflections on the foundations of geometry - What is geometry about? The answer given in Euclid’s /Elements/ is that it is about shapes: lines, triangle...

A new highly pathogenic form of avian influenza (known as subtype H5N1) first emerged in the Hong Kong poultry markets in 1997. Although large-scale culling of birds controlled this outbreak, it re-em...

The farthest point distance function of a non-empty compact set E in the plane is defined by d_{E}(x)=\max_{y\in E} |x-y|. This function arises naturally in the study of sharp inequalities for norms o...

June Barrow-Green
'Much necessary for all sortes of men': 450 years of Euclid's Elements in English
Robert Record's "The Pathway to Knowledge", which was published in 1551, was the first book in Engli...

In 1919, Besicovitch gave an example of a set in the plane that contains a unit line segment in every direction and yet the set itself has zero area. In 1971, Roy Davies showed that such sets in the...

All are welcome. Tea and Coffee will be available from 11.50 a.m.

Topologists are used to looking at such complicated planar sets as Cantor bouquets, indecomposable continua, and Sierpinski curves. Each of these spaces has some very interesting and almost counter-in...

Abstract: The presentation will include a discussion of the computational properties of systems of particles that repel one another, the relationship that such systems have to self-replicating system...

Abstract: Many integrable and exactly solvable models in physics are associated with Lie algebras and their root systems. Calogero-Moser models, which describe systems of r particles with r being the ...

Assume that a random p-vector s has independent components and that where A is a positive definite p x p matrix and b is a p-vector. Assume that is a random sample from the distribution F of . I...

In many disciplines, independent component analysis (ICA) has become a popular method for analyzing multivariate data. Independent component analysis typically assumes the observe data Yis generated b...

Linear signal processing is ubiquitous and very useful, but nonlinearity exists in every system and there are many practical examples where the resulting nonlinear dynamics should not be ignored. Thi...

Motivated by prototype designs for bistable displays, we consider nematic liquid crystals, described by a director field, in a polyhedral domain subject to tangent boundary conditions. Tangent bounda...

We investigate populations of haplotypes evolving under the joint influence of recombination, genetic drift and mutation. First we present a deterministic approach, valid for infinite populations. In ...

Evaluation isn’t just about accountability. Evaluation in itself can add value to the project process.

Inference depends not only on the data but also on the assumptions we are prepared to make about how the data relate to the population of interest. When assumptions are unverifiable, as they often are...

Abstract:
An alternating sign matrix (ASM) is a square matrix in which each entry is -1, 0 or 1, and the nonzero entries in each row and column alternate in sign, starting and ending with a 1. A simp...

Why did Beckham choose the number 23 shirt? How is 17 the key to the evolutionary survival of a strange species of cicada? Prime numbers are the atoms of arithmetic – the hydrogen and oxygen of the wo...

Roger Penrose discovered that it was possible, using two types of tiles and certain rules for placing them, to obtain an infinite number of plane tiling structures with no periodic repetitions. Althou...

Summary and further details to follow

Principal component analysis (PCA) and canonical variate analysis (CVA) biplots can be regarded as multivariate scatterplots for displaying (and analysing) respectively variation and group structure i...

We discuss several classes of directed square lattice walks, which are discrete counterparts of stochastic objects like Browian motion and Brownian excursions. We derive limit distributions for certai...

We study a solid plate plunging into or being withdrawn from a liquid bath, to highlight the fundamental difference between the local behavior of an advancing or a receding contact line, respectively....

Abstract: T cells have to recognize and eliminate foreign invaders. However, there should occur no reaction to the body's own components. Therefore the T cells need the ability to distinguish between ...

Lunchtime lecture

Rubin's method of multiple imputation (MI) for handling missing data in a principled way is now well established in some areas of application. A brief overview of the method will be given, providing b...

Prime numbers are the atoms of mathematics. They can’t be broken down into simpler units – they are, by definition, indivisible by any other number. And they seem to be fundamental to all numbers:

Mass spectrometry, in particular "MALDI", or matrix-assisted laser desorption/ionisation, is used to identify samples of protein. The observed mass spectrum is compared with theoretical spectra calcu...

The advance of DNA microarray technology and genome sequencing allow monitoring gene expression level on a genomic scale. We have analysed gene expression data from microarray experiments of Escherich...

In three recent and seemingly unrelated combinatorial enumerations the author has uncovered a strikingly similar property of the results; a suspiciously high power of 2 lurking amongst the factors. Th...

Exhaustive enumeration of Steiner Triple Systems is not feasible, due to the the combinatorial explosion of instances. The next-best hope is to quickly find a sample that is representative of isomorp...

Talks from various research students about their respective areas of work.

2.00 – 3.00 pm: Jeremy Gray: Poincaré’s electromagnetic theory and Einstein’s: physics and philosophy around 1900
Henri Poincaré was widely regarded as one of the leading mathematicians of his day, a...

Mathematics developed from many different cultures over thousands of years.
These three mini-lectures (interspersed with tea-breaks) illustrate a range of activities from Egypt, Mesopotamia, Greece,...

Several years ago, Havard Rue showed how visually improved estimates of binary images could be obtained by using loss functions which were better suited to the particular estimation problem than the u...

Circulant Jacobi matrices are tridiagonal matrices with additional non-zero entries at the right-top and bottom-left corners. This talk present results, obtained jointly with Ilya Goldsheid, which sho...

Projection of the HIV epidemic has historically raised interesting statistical problems. Novel modelling approaches have been developed to estimate the future burden of the epidemic in the attempt to ...

There are a wide variety of sampling problems which are infinite dimensional in character.
Examples include transtion path sampling in chemistry and nonlinear filtering in signal processing. In both t...

In 1899, H.C. Mortensen conducted the first scientific study involving marked wild animals. In this talk there will be a short historical review of the large amount of statistical work that has taken ...

The talk will begin by reviewing the goals of equilibrium and non-equilibiurm statistical mechanics and in particular will focus on simple models of driven systems where the system reaches a stationar...

Applied Maths Seminar

DREaM 2005
Developments in Statistical Methodology:
Diagnostics Robustness Exploration and Modelling
OVERVIEW:
Two DREaM events, reviewing developments in statistical methodology both within and bet...

Reaction-dispersal equations

Marco Zanchi is Robert Hasson's PhD student