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Tightness conditions for polymer measures

Francesco Caravenna·Giambattista Giacomin·Lorenzo Zambotti
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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.

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Francesco Caravenna, Giambattista Giacomin, Lorenzo Zambotti. 2007-02-12. Tightness conditions for polymer measures. https://arxiv.org/abs/math/0702331

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