Sub-ballisticity of self-repelling polymers in Z^d
Mathematical Physics
2017-06-08 v1 math.MP
Abstract
In this article, we prove sub-ballisticity for a class of self-repelling polymers inZ^d. Self-repelling polymers are a two-way generalization of the model of self-avoiding walks, for which the sub-ballisticity was proved by H. Duminil-Copin and A. Hammond. Namely, we consider an arbitrary finite symmetric distribution of steps and a more flexible penalization for self-intersections than in the self-avoiding walks model.
Keywords
Cite
@article{arxiv.1706.02184,
title = {Sub-ballisticity of self-repelling polymers in Z^d},
author = {Daria Smirnova},
journal= {arXiv preprint arXiv:1706.02184},
year = {2017}
}