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math.PR2026
Strong Disorder for Stochastic Heat Flow and 2D Directed Polymers
Quentin Berger, Francesco Caravenna, Nicola Turchi
The critical 2D Stochastic Heat Flow (SHF) is a universal measure-valued process that provides a notion of solution to the ill-defined 2D stochastic heat equation. We investigate t…
math.PR2025
A random polymer approach to the weak disorder phase of the vertex reinforced jump process
Quentin Berger, Alexandre Legrand, Rémy Poudevigne +1
In this paper, we study the transient phase of the Vertex Reinforced Jump Process (VRJP) in dimension . In Sabot, Zeng (2019), the authors introduce a positive martingale…
math.PR2024
On joint returns to zero of Bessel processes
Quentin Berger, Loïc Béthencourt, Camille Tardif
In this article, we consider joint returns to zero of Bessel processes (): our main goal is to estimate the probability that they avoid having joint returns to zero fo…