98 citations · 743 across the 65 of their papers we have counts for
74 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…
The localization transition for the directed polymer in a random environment is smooth
Hubert Lacoin
When , the directed polymer a in random environment on is known to display a phase transition from a diffusive phase, known as \textit{weak disorder} to a loc…
Coincidence of critical points for directed polymers for general environments and random walks
Stefan Junk, Hubert Lacoin
For the directed polymer in a random environment (DPRE), two critical inverse-temperatures can be defined. The first one, , separates the strong disorder regime (in which the…
A short proof of diffusivity for the directed polymers in the weak disorder phase
Hubert Lacoin
We provide a new short and elementary proof of diffusivity for directed polymer in a random environment in the weak disorder phase.
The tail distribution of the partition function for directed polymer in the weak disorder phase
Stefan Junk, Hubert Lacoin
We investigate the upper tail distribution of the partition function of the directed polymer in a random environment on in the weak disorder phase. We show that the d…