Branching brownian motion seen from its left-most particule
Jean-Baptiste Gou\'er\'e (MAPMO)
TL;DR
This paper reviews recent advances in understanding branching Brownian motion from the perspective of its left-most particle, highlighting key theoretical developments and specific recent studies.
Contribution
It synthesizes recent research findings on the behavior of branching Brownian motion from its left-most particle, emphasizing new theoretical insights and methodologies.
Findings
Summarizes key results from Arguin-Bovier-Kistler and A"id"ekon-Berestycki-Brunet-Shi
Highlights progress in understanding extremal particles in branching Brownian motion
Provides a comprehensive overview of recent theoretical developments
Abstract
This paper is a review of the recent progresses on the branching brownian motion seen from its left-most particule. We describe in particular the recent works by Arguin-Bovier-Kistler and A\"id\'ekon-Berestycki-Brunet-Shi. This is the text in french of a Bourbaki seminar given in March 2013.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Stochastic processes and statistical mechanics · Stochastic processes and financial applications