Please note that the list below only shows forthcoming events, which may not include regular events that have not yet been entered for the forthcoming term. Please see the past events page for a list of all seminar series that the department has on offer.
We discuss a realizationwise correspondence between a Brownian excursion (conditioned to reach height one) and a triple consisting of
(1) the local time profile of the excursion,
(2) an array of independent time-homogeneous Poisson processes on the real line, and
(3) a fair coin tossing sequence, where (2) and (3) encode the ordering by height respectively the left-right ordering of the subexcursions.
The three components turn out to be independent, with (1) giving a time change that is responsible for the time-homogeneity of the Poisson processes.
By the Ray-Knight theorem, (1) is the excursion of a Feller branching diffusion; thus the metric structure associated with (2), which generates the so-called lookdown space, can be seen as representing the genealogy underlying the Feller branching diffusion.
Because of the independence of the three components, up to a time change the distribution of this genealogy does not change under a conditioning on the local time profile. This gives also a natural access to genealogies of continuum populations under competition, whose population size is modeled e.g. by the Fellerbranching diffusion with a logistic drift.
The lecture is based on joint work with Stephan Gufler and Goetz Kersting.
- Stochastic Analysis & Mathematical Finance Seminars
Topology optimisation finds the optimal material distribution of a fluid or solid in a domain, subject to PDE and volume constraints. There are many formulations and we opt for the density approach which results in a PDE, volume and inequality constrained, non-convex, infinite-dimensional optimisation problem without a priori knowledge of a good initial guess. Such problems can exhibit many local minima or even no minima. In practice, heuristics are used to obtain the global minimum, but these can fail even in the simplest of cases. In this talk, we will present an algorithm that solves such problems and systematically discovers as many of these local minima as possible along the way.
- Numerical Analysis Group Internal Seminar
Mathematics is the pursuit of truth. But it is a pursuit carried out by human beings with human emotions. Join Vicky as she travels the mathematical rollercoaster.
Oxford Mathematics is delighted to announce that in partnership with Northumbria University we shall we hosting our first Newcastle Public Lecture on 13 November. Everybody is welcome as we demonstrate the range, beauty and challenges of mathematics. Vicky Neale, Whitehead Lecturer here in Oxford, will be our speaker. Vicky has given a range of Public Lectures in Oxford and beyond and has made numerous radio and television appearances.
Lecture Theatre 002, Business & Law Building, City Campus East
Newcastle upon Tyne, NE1 2SU
Please email email@example.com to register
Oxford Mathematics Public Lectures are generously supported by XTX Markets.
- Public Lecture