Boundary of the range of transient random walk
成果类型：
Article
署名作者：
Asselah, Amine; Schapira, Bruno
署名单位：
Universite Gustave-Eiffel; Universite Paris-Est-Creteil-Val-de-Marne (UPEC); Aix-Marseille Universite; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-016-0722-4
发表日期：
2017
页码：
691-719
关键词：
摘要：
We study the boundary of the range of simple random walk on in the transient case . We show that volumes of the range and its boundary differ mainly by a martingale. As a consequence, we obtain an upper bound on the variance of order in dimension three. We also establish a Central Limit Theorem in dimension four and larger.
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