Martin boundary covers Floyd boundary
成果类型：
Article
署名作者：
Gekhtman, Ilya; Gerasimov, Victor; Potyagailo, Leonid; Yang, Wenyuan
署名单位：
Technion Israel Institute of Technology; Universidade Federal de Minas Gerais; Universite de Lille; Peking University
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-020-01015-z
发表日期：
2021
页码：
759-809
关键词：
摘要：
For a random walk on a finitely generated group G we obtain a generalization of a classical inequality of Ancona. We deduce as a corollary that the identity map on G extends to a continuous equivariant surjection from the Martin boundary to the Floyd boundary, with preimages of conical points being singletons. This provides new results for Martin compactifications of relatively hyperbolic groups.
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