47 citations · 110 across the 33 of their papers we have counts for
5 papers · 1 filter
On operator-valued monotone independence
Takahiro Hasebe, Hayato Saigo
We investigate operator-valued monotone independence, a noncommutative version of independence for conditional expectation. First we introduce operator-valued monotone cumulants to…
Arcsine Law as the Classical Limit for interacting Fock spaces
Hayato Saigo
In the present paper we discuss how to generalize ``Quantum-Classical Correspondence'' by means of the notion of interacting Fock spaces, which associates algebraic probability the…
Notes on the Krupa-Zawisza Ultrapower of Self-Adjoint Operators
Hiroshi Ando, Izumi Ojima, Hayato Saigo
It is known that there is a difficulty in constructing the ultrapower of unbounded operators. Krupa and Zawisza gave a rigorous definition of the ultrapower A^{omega} of a selfadjo…
Derivation of Born Rule from Algebraic and Statistical Axioms
Izumi Ojima, Kazuya Okamura, Hayato Saigo
In the present paper we propose a new axiomatic system of algebraic and statistical axioms as working hypotheses, from which Born rule can be seen to emerge. In this process the co…
Indeterminacy of the moment problem for symmetric probability measures
Hayato Saigo, Hiroki Sako
In this paper, the moment problem for symmetric probability measures is characterized in terms of associated sequences called Jacobi sequences . A notion named property (S…