There will be a half-day event on the 25th April at Leeds -- please see details below.
Workshop on "Stochastic Analysis on Configuration Spaces and its Applications"
Dedicated to the 105th anniversary of Andrei Nikolaevich KOLMOGOROV (25.04.1903-20.10.1987)
Date: Friday 25 April 2008
Venue: University of Leeds, School of Mathematics, MALL 1 & 2 (Level 8)
Organiser: Dr Leonid Bogachev (University of Leeds)
Hosted by the Department of Statistics, University of Leeds
Funded by the London Mathematical Society (Scheme 3 Grant) and the Department of Statistics (Leeds)
Programme:
1. Dr Alexei Daletskii (University of York)
"Analysis on configuration spaces and Gibbs cluster measures"
Abstract: "The distribution $\mu$ of a Gibbs cluster point process in a Euclidean space $X$ is studied via the projection of an auxiliary Gibbs measure in the space of configurations in $X^n$ (where $n$ is the size of each cluster). We show that the measure $\mu$ is quasi-invariant with respect to the group of compactly supported diffeomorphisms of $X$ and prove an integration-by-parts formula. The corresponding equilibrium stochastic dynamics is then constructed using the method of Dirichlet forms. (Joint work with L. Bogachev.)"
2. Dr Eugene Lytvynov (University of Wales Swansea)
"Scaling limits of stochastic dynamics of infinite particle systems in continuum"
Abstract: "We will discuss different types of scaling limits of stochastic dynamics on the configuration space. In particular, we will show that some classes of birth-and-death processes in continuum (Glauber dynamics) may be derived as a scaling limit of dynamics of interacting hopping particles (Kawasaki dynamics)."
3. Prof. Yuri Kondratiev (University of Reading)
"Dynamical self-regulation for individually based models (IBM) in continuum"
Abstract: (to follow)
4. Dr Tobias Kuna (University of Reading)
"Branching process: an analogue of the contact process in continuum"
Abstract: "A class of birth and death processes is studied with the birth rate linear in the local density. The corresponding representation of the dynamics in terms of moments (correlation functions) is given. The structure of the associated invariant distributions is described. Large space asymptotic in the sense of the Law of Large Numbers and Central Limit Theorem are presented for these distributions. The limit of the dynamics in a diffusive time-space scaling at zero density is established."
Timetable
14:30-14:40 Opening & Introduction (L. Bogachev)
14:40-15:20 A. Daletskii
15:20-15:30 Questions
15:30-16:10 E. Lytvynov
16:10-16:20 Questions
16:20-16:50 Refreshments
16:50-17:30 Yu. Kondratiev
17:30-17:40 Questions
17:40-18:20 T. Kuna
18:20-18:30 Questions
18:30 Closing
--
Dr Leonid V. Bogachev
Reader in Probability
Department of Statistics Tel. +44 (0)113 3434972
University of Leeds Fax +44 (0)113 3435090
Leeds LS2 9JT L.V.Bogachev'at'leeds.ac.uk
United Kingdom www.maths.leeds.ac.uk/~bogachev
|