1 citations · 1 across the 5 of their papers we have counts for
6 papers
Fractional moments of the Stochastic Heat Flow and 2D Directed Polymers
Quentin Berger, Nicola Turchi, Nikos Zygouras
We estimate the fractional moments of the normalized mass assigned by the Critical 2D Stochastic Heat Flow to small balls. Our results also cover the discrete case corresponding to…
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…
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…
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…
Wetting on a wall and wetting in a well: Overview of equilibrium properties
Quentin Berger, Brune Massoulié
We study the wetting model, which considers a random walk constrained to remain above a hard wall, but with additional pinning potential for each contact with the wall. This model…
On the critical point of the Random Walk Pinning Model in dimension d=3
Q. Berger, F. Toninelli
We consider the Random Walk Pinning Model studied in [3,2]: this is a random walk X on Z^d, whose law is modified by the exponential of βtimes L_N(X,Y), the collision local time up…