Author:
Endo Kenta,Mimura Ippei,Sawada Yusuke
Abstract
Wildberger's construction enables us to obtain a hypergroup from a random walk on a special graph. We will give a probability theoretic interpretation to products on the hypergroup. The hypergroup can be identified with a commutative algebra whose basis is transition matrices. We will estimate the operator norm of such a transition matrix and clarify a relationship between their matrix products and random walks.
Publisher
Det Kgl. Bibliotek/Royal Danish Library
Cited by
3 articles.
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1. Hypergroup Structures of Open Quantum Random Walks on Distance Sets;Open Systems & Information Dynamics;2023-12
2. The construction of graph adjacency of centrosymmetric matrix structure;PROCEEDINGS OF THE 3RD AHMAD DAHLAN INTERNATIONAL CONFERENCE ON MATHEMATICS AND MATHEMATICS EDUCATION 2021;2023
3. Adjacency and transition matrices related to random walks on graphs;Journal of Algebraic Combinatorics;2022-01-20