SCHEDULE
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Monday 21 |
Tuesday 22 | Wednesday 23 | Thursday 24 |
9h-10h |
| Grégoire Véchambre |
Yueyun Hu | Christophe Sabot |
10h15-10h45 |
| Coffee break |
Coffee break |
Coffee break |
10h45-11h45 |
| Martin Wendler | Arvind Singh |
Julien Brémont |
11h45-12h45 |
| Xinxin Chen |
Thi-Hien Nguyen |
Fabienne Castell |
12h45-13h45 |
Lunch at 13h00 | Lunch |
Lunch |
Lunch |
14h-15h |
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|
|
Laurent Tournier |
15h-16h |
Bastien Mallein |
Anne-Laure Basdevant |
Free (coastal walk) |
Zhan Shi |
16h-16h30 |
Coffee break |
Coffee break | Coffee break | Coffee break |
16h30-17h30 |
Bruno Schapira |
Pierre Debs | Denis Denisov | |
17h45-18h45 |
Alexis Devulder |
ACCOMODATION AND MEALS
The participants will be housed at the UCPA Center.
The meals will also be provided at the UCPA Center.
PARTICIPANTS
Pierre ANDREOLETTI, Université d'Orléans, France
Anne-Laure BASDEVANT, Université Paris-Ouest, France
Daniel BOIVIN, Université de Brest, France
Julien BRÉMONT, Université de Paris Est Créteil, France
Fabienne CASTELL, Université d'Aix-Marseille, France
Xinxin CHEN, Université de Lyon 1, France
Pierre DEBS, Université d'Orléans, France
Denis DENISOV, University of Manchester, United Kingdom
Yves DERRIENNIC, Université de Brest, France
Alexis DEVULDER, Université de Versailles, France
Brice FRANKE, Université de Brest, France
Yueyun HU, Université Paris 13, France
Bastien MALLEIN, École Normale Supérieure, Paris, France
Thi-Hien NGUYEN, Université de Brest, France
Françoise PÈNE, Université de Brest, France
Julien POISAT, Université Paris-Dauphine, France
Christophe SABOT, Université de Lyon 1, France
Bruno SCHAPIRA, Université d'Aix-Marseille, France
Zhan SHI, Université Paris 6, France
Arvind SINGH, Université Paris-Sud, France
Laurent TOURNIER, Université de Paris 13, France
Grégoire VÉCHAMBRE, Université d'Orléans, France
Frédérique WATBLED, Université de Bretagne-Sud, France
Martin WENDLER, Greifswald Universität, Germany
TALKS
Anne-Laure BASDEVANT, From Hammersley's lines to Hammersley's trees
Julien BRÉMONT, Sur la récurrence d'une marche aléatoire
en milieu stratifié
Abstract
On considère une marche aléatoire dans Z^dxZ, avec un champ de lois de transition invariant par les translations de Z^d. Un premier modèle de ce type (dans le plan) a été introduit par Campanino et Petritis en 2003. Une condition nécessaire et suffisante de récurrence est présentée. L'asymptotique de la marche s'avère liée à une notion de variance de flux directionnel, mesurant le pouvoir dispersif du milieu. Nous présentons des exemples d'application et évoquons quelques questions en suspens.
Fabienne CASTELL, Markov Chain Intertwining and Multiresolution analysis on graphs
(work in progress
with L. Avena, A. Gaudillière, C. Mélot)
Xinxin CHEN, Long Brownian bridges in hyperbolic spaces converge
to Brownian trees (Joint work with G. Miermont)
Abstract
We consider the long Brownian bridge started from the origin in hyperbolic space H_d
and show that its range, after being suitably renormalised, converges in law to a Brownian
continuum tree in the sense of Gromov-Hausdorff. The rough idea of the proof will be talked
about, by presenting the convergence of the radial part, the invariance property of re-rooting
and the hyperbolicity property. The similar idea will be applied to obtain the local convergence
of the rescaled Brownian loop in hyperbolic space.
Pierre DEBS, Diseases transmission in a z-ary tree and a Galton-Watson tree
Denis DENISOV, First-passage times for random walks with non-identically distributed increments
Abstract
We consider random walks with independent but not necessarily identical distributed increments. Assuming that the increments satisfy the well-known Lindeberg condition, we investigate the asymptotic behaviour of first-passage times over moving boundaries. Furthermore, we prove that a properly rescaled random walk conditioned to stay above the
Alexis DEVULDER, Collisions of several walkers in recurrent random environments
Yueyun HU, Favourite sites of random walks in random environments on a tree
Thi-Hien NGUYEN, Spectral gap expansion of Ornstein-Uhlenbeck process in some
fast incompressible flow
Bastien MALLEIN, Branching random walk in random environment in time
Christophe SABOT, Hitting time of Brownian motions and the Vertex Reinforced Jump Process
Abstract
It is well-known that the first hitting time of 0 by a negatively drifted Brownian motion starting at $a>0$
has the inverse Gaussian law. Moreover, conditionally on this first hitting time, the BM up to that time has the law of a 3-dimensional
Bessel bridge. In this talk, we will give a generalization of this result to a familly of Brownian motions with interacting drifts. The law
of the hitting times will be given by the inverse of the random potential that appear in the context of the self-interacting process
called the Vertex Reinforced Jump Process. We will also explain some "commutativity" property of these BM and its relation
with the martingale that appeared in previous work on the VRJP.
Work in progress with Xiaolin Zeng.
Bruno SCHAPIRA, Central limit theorem for the capacity of the range of a simple random walk on Z^d
Arvind SINGH,
Zhan SHI, Déviations du mouvement brownien branchant
Abstract
Je ferai quelques discussions élémentaires sur la façon dont le
mouvement brownien branchant reste bien inférieur à ses valeurs
usuelles. Travail en collaboration avec B. Derrida.
Laurent TOURNIER, Non-fixation de Marches aléatoires activées
Grégoire VÉCHAMBRE, Local time of a diffusion in a random medium
Martin WENDLER, The empirical process of a random walk in random scenery
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