English

Tightness conditions for polymer measures

Probability 2007-05-23 v1

Abstract

We give sufficient conditions for tightness in the space C([0,1]) for sequences of probability measures which enjoy a suitable decoupling between zero level set and excursions. Applications of our results are given in the context of (homogeneous, periodic and disordered) random walk models for polymers and interfaces.

Keywords

Cite

@article{arxiv.math/0702331,
  title  = {Tightness conditions for polymer measures},
  author = {Francesco Caravenna and Giambattista Giacomin and Lorenzo Zambotti},
  journal= {arXiv preprint arXiv:math/0702331},
  year   = {2007}
}