WORKSHOP

Random Walks: Interacting, Branching, and more
Marches aléatoires: branchantes, en interaction, et plus

15 – 19 April 2024

INTRANET FOR ORGANIZERS

Scientific Committee 
Comité scientifique 

Erwin Bolthausen (University of Zurich)
Ofer Zeitouni (Weizmann Institute of Science)

Organizing Committee
Comité d’organisation

Amine Asselah (Université Paris-Est Créteil Val de Marne)
Quentin Berger (Sorbonne Université)
Perla Sousi (University of Cambridge)

Branching processes and interacting random walks are current topics of research that play an important role in probability theory, with many applications, for example in physics or biology. Interactions between these two themes exist, and one of the aims of the conference is to develop them further. Our goal is to review the recent progress in these very active areas of research, but also to encourage exchanges between different communities; in particular putting forth innovative ideas that could be used more broadly. The aim of the conference is to bring together researchers (PhD students, post-docs, junior and senior researchers) working on a variety of topics revolving around interacting random walks and branching processes, with the idea of fostering discussions and initiating possible collaborations. The conference’s themes are a central part of our ANR Local project.

Les processus de branchement et les marches aléatoires en interactions sont des sujets de recherche actuels qui jouent un rôle important en probabilité et possèdent de nombreuses applications, par exemple en physique ou en biologie. Des interactions existent entre ces deux thèmes, et l’un des but de la conférence est de les développer davantage. L’objectif est de dresser un état des lieux des progrès récents liés à ces domaines de recherche très actifs, mais aussi d’encourager les échanges entre plusieurs communautés ; afin notamment de mettre en avant les idées novatrices qui pourraient être utiles de manière plus large. Le but de la conférence est de rassembler des chercheurs (doctorant·e·s, postdoctorant·e·s, junior·e·s ou confirmé·e·s) travaillant sur des sujets variés tournant autour des marches aléatoires en interactions et des processus de branchement, avec l’envie de favoriser les discussions et d’initier de possibles collaborations. Les thèmes de la conférence forment une partie centrale de notre projet ANR Local.

SPEAKERS

 

Nathanaël Berestycki (University of Vienna)    Title Thick points of 4D branching Brownian motion
Erwin Bolthausen (University of Zurich)   Large deviations for the capacity of the Wiener sausage
Alice Callegaro (Technical University of Munich)    Survival and complete convergence for a branching annihilating random walk
Lisa Hartung (Johannes Gutenberg University Mainz)    Branching random walk subject to a hard wall constraint
Antoine Jego (EPFL – Lausanne)    The height gap of planar Brownian motion is 5/pi
Hubert Lacoin (IMPA – Rio de Janeiro)   Strong disorder and very strong disorder are equivalent for directed polymers
Lucile Laulin (Université Paris Nanterre)   A fixed point equation for the super-diffusive elephant random walk
Alexandre Legrand (Université Claude Bernard Lyon 1)   Maximal displacement of a time-inhomogeneous, N-particles branching random walk; and application to optimization algorithms
Cecile Mailler (University of Bath)    A two-table theorem for a disordered version of the Chinese restaurant process (CRP)
Jonathon Peterson (Purdue University)   Generalized Ray-Knight theorems, and convergence and non-convergence of self- interacting random walks
Remy Poudevigne (Sorbonne Université)   On the transience of the Vertex Reinforced Jump Process
Alexis Prévost (University of Geneva)   Arm exponent for the Gaussian free field on metric graphs via the random walk loop soup
Pierre-François Rodriguez (Imperial College London)   Anatomy of clusters for the vacant set of random walk
Ecaterina Sava-Huss (University of Innsbruck)   Rotor walks: in between random and deterministic
Bruno Schapira (Aix-Marseille Université)   On the intersection of two Branching-like random sets
Dominik Schmid (University of Bonn)   Biased random walk on dynamical percolation
Vittoria Silvestri (Sapienza University of Rome)   Fluctuations and mixing of Internal DLA on cylinders
Niccolo Torri (Université Paris Nanterre)   The prudent self-avoiding walk
Oliver Tough (University of Bath)   Selection principles for the N-BBM and the Fleming-Viot particle system
Ofer Zeitouni (Weizmann Institute of Science)   On the front of multidimensional Branching Brownian Motion

SPONSOR

 
ANR LOCAL