2020/01/22 by Kenta Endo, Endo, Kenta, Ippei Mimura +3
Mathematics · #Advanced Operator Algebra Research #Finite Group Theory Research #Advanced Topics in Algebra
paper · pdf · doi:10.48550/arxiv.2001.07925
Wildberger's construction enables us to obtain a hypergroup from a special graph via random walks. 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.