44 citations · 130 across the 28 of their papers we have counts for
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math.PR2020★ 13 cited
The scaling limit of the directed polymer with power-law tail disorder
Quentin Berger, Hubert Lacoin
In this paper, we study the so-called intermediate disorder regime for a directed polymer in a random environment with heavy-tail. Consider a simple symmetric random walk $(S_n)_{n…
math.PR2020
The continuum directed polymer in Lévy Noise
Quentin Berger, Hubert Lacoin
We present in this paper the construction of a continuum directed polymer model in an environment given by space-time Lévy noise. One of the main objectives of this construction is…
math.PR2020
One-dimensional polymers in random environments: stretching vs. folding
Quentin Berger, Chien-Hao Huang, Niccolo Torri +1
In this article we study a \emph{non-directed polymer model} on , that is a one-dimensional simple random walk placed in a random environment. More precisely, the law of…