2 citations · 5 across the 8 of their papers we have counts for
8 papers
The adjacency matrices and the transition matrices related to random walks on graphs
Tomohiro Ikkai, Hiromichi Ohno, Yusuke Sawada
A pointed graph induces a family of transition matrices in Wildberger's construction of a hermitian hypergroup via a random walk on starting from . We will give…
Hypergroup structures of open quantum random walks on distance sets
Yusuke Sawada
Wildberger has introduced the method to construct a hermitian discrete hypergroup from a random walk on a graph. We will apply his method to an open quantum random walk (OQRW) on a…
Hypergroups and distance distributions of random walks on graphs
Kenta Endo, Ippei Mimura, Yusuke Sawada
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…
E-semigroups and product systems of W-bimodules
Yusuke Sawada
Product systems have been originally introduced to classify E-semigroups on type I factors by Arveson. We develop the classification theory of E-semigroups on a general von…
The affine property of quasi-free states on self-dual CAR algebras
Yusuke Sawada
We study conditions for which the correspondence between quasi-free states on self-dual CAR algebras and covariant operators is affine.
Notes on the bicategory of W*-bimodules
Yusuke Sawada, Shigeru Yamagami
Categories of W*-bimodules are shown in an explicit and algebraic way to constitute an involutive W*-bicategory.
Hypergroups derived from random walks on some infinite graphs
Tomohiro Ikkai, Yusuke Sawada
Wildberger gave a method to construct a finite hermitian discrete hypergroup from a random walk on a certain kind of graphs. In this article, we reveal that his method is applicabl…
A remark on the minimal dilation of the semigroup generated by a normal UCP-map
Yusuke Sawada
There are known three ways to construct the minimal dilation of the discrete semigroup generated by a normal unital completely positive map on a von Neumann algebra, which are give…