A LOCAL CLT FOR CONVOLUTION EQUATIONS WITH AN APPLICATION TO WEAKLY SELF-AVOIDING RANDOM WALKS

• 成果类型: Article
• 署名作者: Avena, Luca; Bolthausen, Erwin; Ritzmann, Christine
• 署名单位: Leiden University; Leiden University - Excl LUMC; University of Zurich
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/14-AOP971
• 发表日期: 2016
• 页码: 206-234
• 关键词: inductive approach; lace expansion

摘要

We prove error bounds in a central limit theorem for solutions of certain convolution equations. The main motivation for investigating these equations stems from applications to lace expansions, in particular to weakly self-avoiding random walks in high dimensions. As an application we treat such self-avoiding walks in continuous space. The bounds obtained are sharper than those obtained by other methods.