LOCALIZATION ON 5 SITES FOR VERTEX REINFORCED RANDOM WALKS: TOWARDS A CHARACTERIZATION
成果类型：
Article
署名作者：
Schapira, Bruno
署名单位：
Aix-Marseille Universite; Centre National de la Recherche Scientifique (CNRS)
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
DOI：
10.1214/20-AAP1633
发表日期：
2021
页码：
1774-1786
关键词：
摘要：
We continue the investigation of the localization phenomenon for a vertex reinforced random walk on the integer lattice. We provide some partial results towards a full characterization of the weights for which localization on 5 sites occurs with positive probability, and make some conjecture concerning the almost sure behavior.