TY - JOUR AU - Endo, Kenta AU - Mimura, Ippei AU - Sawada, Yusuke PY - 2021/02/17 Y2 - 2024/03/29 TI - Hypergroups and distance distributions of random walks on graphs JF - MATHEMATICA SCANDINAVICA JA - Math. Scand. VL - 127 IS - 1 SE - Articles DO - 10.7146/math.scand.a-122932 UR - https://www.mscand.dk/article/view/122932 SP - 43-62 AB - <p>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.</p> ER -