Work

Domain of attraction of the fixed points of Branching Brownian motion

Year: 2024

Type: article

Abstract: We give a complete characterization of the domain of attraction of fixed points of branching Brownian motion (BBM) with critical drift. Prior to this classification, we introduce a suitable metric space of locally finite point measures on which we prove 1) that the BBM with critical drift is a well-defined Markov process and 2) that it satisfies the Feller property. Several applications of this characterization are given.

Source: The Annals of Applied Probability

DOI: 10.1214/24-aap2093

Authors: Xinxin Chen, Christophe Garban, Atul Shekhar

Institutions: Beijing Normal University, Lyon 1 Université, Institut Camille Jordan, Tata Institute of Fundamental Research

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Award: Conformal Field Theory: constructive aspects and integrability