Hypergroups derived from random walks on some infinite graphs

Tomohiro Ikkai; Yusuke Sawada

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arXiv · 1705.07566

Hypergroups derived from random walks on some infinite graphs

Tomohiro Ikkai·Yusuke Sawada

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Abstract

Wildberger gave a method to construct a finite hermitian discrete hypergroup from a random walk on a certain kind of graphs. In this article, we reveal that his method is applicable to a random walk on a certain kind 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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Tomohiro Ikkai, Yusuke Sawada. 2017-05-31. Hypergroups derived from random walks on some infinite graphs. https://arxiv.org/abs/1705.07566

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