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math.PR2025
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…
math.PR2025
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…
math.PR2024
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…