4 papers
An exactly solvable continuous-time Derrida--Retaux model
Yueyun Hu, Bastien Mallein, Michel Pain
To study the depinning transition in the limit of strong disorder, Derrida and Retaux (2014) introduced a discrete-time max-type recursive model. It is believed that for a large cl…
Two-temperatures overlap distribution for the 2D discrete Gaussian free field
Michel Pain, Olivier Zindy
In this paper, we prove absence of temperature chaos for the two-dimensional discrete Gaussian free field using the convergence of the full extremal process, which has been obtaine…
1-stable fluctuations in branching Brownian motion at critical temperature I: the derivative martingale
Pascal Maillard, Michel Pain
Let denote the derivative martingale of branching Brownian motion, i.e.\@ the derivative with respect to the inverse temperature of the normalized partition funct…
The near-critical Gibbs measure of the branching random walk
Michel Pain
Consider the supercritical branching random walk on the real line in the boundary case and the associated Gibbs measure on the generation, which is also the…