English

A model of continuous time polymer on the lattice

Probability 2008-02-25 v1

Abstract

In this article, we try to give a rather complete picture of the behavior of the free energy for a model of directed polymer in a random environment, in which the polymer is a simple symmetric random walk on the lattice Zd\Z^d, and the environment is a collection {W(t,x);t0,xZd}\{W(t,x);t\ge 0, x\in \Z^d\} of i.i.d. Brownian motions.

Keywords

Cite

@article{arxiv.0802.3296,
  title  = {A model of continuous time polymer on the lattice},
  author = {David Marquez-Carreras and Carles Rovira and Samy Tindel},
  journal= {arXiv preprint arXiv:0802.3296},
  year   = {2008}
}
R2 v1 2026-06-21T10:15:03.486Z