TY - JOUR
AU - Endo, Kenta
AU - Mimura, Ippei
AU - Sawada, Yusuke
PY - 2021/02/17
Y2 - 2021/08/05
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 -