55 citations · 174 across the 13 of their papers we have counts for
14 papers
On a fractional stochastic heat equation arising from the disordered pinning model
Zi'an Li, Jian Song, Ran Wei +1
We study the mild Skorohod solution to the following fractional stochastic heat equation on : \begin{equation} \begin{cases} \partial_t u(t,x)=-(-Δ)^{ρ/2} u(t,x) +βu(t,…
Non-directed polymers in random environments with range penalties: the high dimensional case
Niccolo Torri, Ran Wei
We study a non-directed polymer model in random environments. The polymer is modeled by a simple symmetric random walk on with , and the random environme…
Weak coupling limits for directed polymers in tube environments
Ran Wei, Jinjiong Yu
In this paper, we study a model of directed polymers in random environment, where the environment is restricted to a time-space tube whose spatial width grows polynomially with tim…
Non-directed polymers in heavy-tail random environment in dimension
Quentin Berger, Niccolò Torri, Ran Wei
In this article we study a \emph{non-directed} polymer model in dimension : we consider a simple symmetric random walk on which interacts with a random envir…
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…
Anomalous charge pumping in a one-dimensional optical superlattice
Ran Wei, Erich J. Mueller
We model atomic motion in a sliding superlattice potential to explore topological "charge pumping" and to find optimal parameters for experimental observation of this phenomenon. W…