Hypergroups derived from random walks on some infinite graphs

被引：0
|
作者：
Tomohiro Ikkai
Yusuke Sawada
机构：
[1] Nagoya University,Graduate School of Mathematics
来源：
Monatshefte für Mathematik | 2019年 / 189卷
关键词：
Hermitian discrete hypergroups; Distance-regular graphs; Association schemes; Cayley graphs; Infinite graphs; Primary 43A62; Secondary 05C81;
D O I：
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学科分类号：
摘要：
Wildberger gave a method to construct a finite hermitian discrete hypergroup from a random walk on a certain kind of finite graphs. In this article, we reveal that his method is applicable to a random walk on certain kinds of infinite graphs. Moreover, we make some observations of finite or infinite graphs on which a random walk produces a hermitian discrete hypergroup.
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页码：321 / 353
页数：32
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