Annual Report 2005 - Fields Institute - University of Toronto

Stevo Todorcevic (Toronto)
Representing trees as relatively compact subsets of the first
Baire class
Biorthogonal systems and quotient spaces via Baire category
methods, Part I, II, III, VI
Between the von Neumann and the control measure problems
Stuart Zoble (Toronto)
Proving projective determinacy
Weak capturing and stationary reflection
Probability Seminar
September 2004–May 2005
Held at the Fields Institute and York University
Coordinators: Dimitrios Cheliotis (Toronto), Neal Madras
(York) and Bálint Virág (Toronto)
This year’s seminar had 13 talks. Four of them were related
to the theory of superprocesses. Leonid Mytnik presented
a uniqueness result for solutions of a stochastic partial differential
equation arising from a certain superprocess. Tom
Salisbury showed how one can get information on the history
of a super Brownian motion with Levy branching in a
domain, knowing that it hits the boundary of the domain at
some given points. Vladimir Vinogradov examined properties
of a family of densities appearing in a class of branching
diffusion particle systems. And Carl Mueller showed
regularity for the solution of a stochastic partial differential
equation motivated by a superprocess.
Balázs Szegedy presented some properties of convergent
sequences of dense graphs and a connection with problems
of extremal graph theory.
Jacques Verstraete showed how probabilistic techniques
solve some purely combinatorial problems.
On applied issues were the talks of Pablo Olivares and
Manuel Morales. Olivares showed how martingale methods
can be used to estimate the parameters of some diffusion
models, while Morales discussed the problem of computing
the discounted penalty function for a class of risk models.
Dimitrios Cheliotis presented a property of the two sided
Brownian motion and its implication on the behavior of a
diffusion having this motion as an environment.
Sharad Goel gave estimates on the time it takes for a deck
of cards to become close to random when it is subjected to a
certain kind of random shuffles.
G e n e r a l S c i e n t i f i c A c t i v i t i e s
Julien Dubedat discussed the problem of growing in a
domain and in a consistent way two SLE’s that don’t intersect.
Stuart Whittington presented results on a probabilistic
object used to model the behavior of a copolymer in a solution
of two immiscible solvents.
Frank den Hollander studied the way the lattice gas subject
to Kawasaki dynamics goes through metastable states.
Speakers:
Dimitrios Cheliotis (Toronto)
Diffusion in a one-dimensional random environment
Frank den Hollander (EURANDOM)
Metastability for the lattice gas, subject to Kawasaki dynamics
Julien Dubedat (NYU)
Commutation of SLEs
Sharad Goel (Cornell)
Estimating convergence rates for finite Markov chains
Manuel Morales (York)
Generalized risk models, Levy processes and the discounted
penalty function
Carl Mueller (Rochester)
Regularity of a one-dimensional stochastic heat equation with
extra noise from a stochastic flow
Leonid Mytnik (Technion)
On pathwise uniqueness for stochastic heat equations with
non-Lipschitz coefficients
Pablo Olivares (Havana)
Martingale methods for some diffusion with jump stochastic
processes
Tom Salisbury (York & Fields)
Conditioned superprocesses with Levy branching
Balázs Szegedy (Microsoft Research)
Reflection positivity and limits of dense graph sequences
Jacques Verstraete (Waterloo)
Martingale inequalities and enumeration
Fields Institute 2005 ANNUAL REPORT 94