Tightness conditions for polymer measures

2007/02/12 by Francesco Caravenna, Caravenna, Francesco, Giambattista Giacomin +3
Mathematics · #60F17 #60K35 #82B41 #FOS: Mathematics #Point processes and geometric inequalities #Probability (math.PR) #math.PR #msc:60F17 #msc:60K35 #msc:82B41

paper · pdf · doi:10.48550/arxiv.math/0702331

arxiv created 2007/02/12 · openalex publication_date 2007/02/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Periodic copolymers at selective interfaces: A large deviations approach

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