@article{Endo_Mimura_Sawada_2021, title={Hypergroups and distance distributions of random walks on graphs}, volume={127}, url={https://www.mscand.dk/article/view/122932}, DOI={10.7146/math.scand.a-122932}, abstractNote={<p>Wildbergerâ€™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>}, number={1}, journal={MATHEMATICA SCANDINAVICA}, author={Endo, Kenta and Mimura, Ippei and Sawada, Yusuke}, year={2021}, month={Feb.}, pages={43â€“62} }