44 citations · 130 across the 28 of their papers we have counts for
35 papers
The Random Walk Pinning Model I: Lower bounds on the free energy and disorder irrelevance
Quentin Berger, Hubert Lacoin
The Random Walk Pinning Model (RWPM) is a statistical mechanics model in which the trajectory of a continuous time random walk is rewarded according to the time…
The Random Walk Pinning Model II: Upper bounds on the free energy and disorder relevance
Quentin Berger, Hubert Lacoin
This article investigates the question of disorder relevance for the continuous-time Random Walk Pinning Model (RWPM) and completes the results of our companion paper. The RWPM con…
An application of Sparre Andersen's fluctuation theorem for exchangeable and sign-invariant random variables
Quentin Berger, Loïc Béthencourt
We revisit here a famous result by Sparre Andersen on persistence probabilities for symmetric random walks . We give…
Persistence problems for additive functionals of one-dimensional Markov processes
Quentin Berger, Loïc Béthencourt, Camille Tardif
In this article, we consider additive functionals of a càdlàg Markov process on . Under some general conditions on…
Collective vs. individual behaviour for sums of i.i.d. random variables: appearance of the one-big-jump phenomenon
Quentin Berger, Matthias Birkner, Linglong Yuan
This article studies large and local large deviations for sums of i.i.d. real-valued random variables in the domain of attraction of an -stable law, , with emphasis…
Scaling limit of the disordered generalized Poland--Scheraga model for DNA denaturation
Quentin Berger, Alexandre Legrand
The Poland--Scheraga model, introduced in the 1970's, is a reference model to describe the denaturation transition of DNA. More recently, it has been generalized in order to allow…