47 citations · 322 across the 54 of their papers we have counts for
5 papers · 1 filter
Towards a Classification of Multi-Faced Independence: A Representation-Theoretic Approach
Malte Gerhold, Takahiro Hasebe, Michael Ulrich
We attack the classification problem of multi-faced independences, the first non-trivial example being Voiculescu's bi-freeness. While the present paper does not achieve a complete…
Limit Theorems and Wrapping Transforms in Bi-free Probability Theory
Takahiro Hasebe, Hao-Wei Huang
In this paper, we characterize idempotent distributions with respect to the bi-free multiplicative convolution on the bi-torus. Also, the bi-free analogous Levy triplet of an infin…
Noncommutative probability of type D
Marek Bożejko, Wiktor Ejsmont, Takahiro Hasebe
We construct a deformed Fock space and a Brownian motion coming from Coxeter groups of type D. The construction is analogous to that of the -Fock space (of type A) and the $(α,q…
Radial Bargmann representation for the Fock space of type B
Nobuhiro Asai, Marek Bożejko, Takahiro Hasebe
Let be the probability and orthogonality measure for the -Meixner-Pollaczek orthogonal polynomials, which has appeared in \cite{BEH15} as the distribution of the $(α,q…
Fock space associated to Coxeter group of type B
Marek Bożejko, Wiktor Ejsmont, Takahiro Hasebe
In this article we construct a generalized Gaussian process coming from Coxeter groups of type B. It is given by creation and annihilation operators on an -Fock space, which…