47 citations · 322 across the 54 of their papers we have counts for
10 papers · 1 filter
Monotone Increment Processes, Classical Markov Processes, and Loewner Chains
Uwe Franz, Takahiro Hasebe, Sebastian Schleißinger
We prove one-to-one correspondences between certain decreasing Loewner chains in the upper half-plane, a special class of real-valued Markov processes, and quantum stochastic proce…
Cumulants, Spreadability and the Campbell-Baker-Hausdorff Series
Takahiro Hasebe, Franz Lehner
We define spreadability systems as a generalization of exchangeability systems in order to unify various notions of independence and cumulants known in noncommutative probability.…
On free Generalized Inverse Gaussian distributions
Takahiro Hasebe, Kamil Szpojankowski
We study here properties of free Generalized Inverse Gaussian distributions (fGIG) in free probability. We show that in many cases the fGIG shares similar properties with the class…
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…
A three-state independence in non-commutative probability
Takahiro Hasebe
We define a new independence in non-commutative probability, called -freeness, with respect to a triplet of states. This concept unifies several independences in non-commutative…
Joint cumulants for natural independence
Takahiro Hasebe, Hayato Saigo
Many kinds of independence have been defined in non-commutative probability theory. Natural independence is an important class of independence; this class consists of five independ…