47 citations · 322 across the 54 of their papers we have counts for
6 papers · 1 filter
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…
Relations between cumulants in noncommutative probability
Octavio Arizmendi, Takahiro Hasebe, Franz Lehner +1
We express classical, free, Boolean and monotone cumulants in terms of each other, using combinatorics of heaps, pyramids, Tutte polynomials and permutations. We completely determi…
Free Subordination and Belinschi-Nica Semigroup
Octavio Arizmendi, Takahiro Hasebe
We realize the Belinschi-Nica semigroup of homomorphisms as a free multiplicative subordination. This realization allows to define more general semigroups of homomorphisms with res…
Classical Scale Mixtures of Boolean Stable Laws
Octavio Arizmend, Takahiro Hasebe
We study Boolean stable laws, , with stability index and asymmetry parameter . We show that the classical scale mixture of coincides wit…
On free stable distributions
Takahiro Hasebe, Alexey Kuznetsov
We investigate analytical properties of free stable distributions and discover many connections with their classical counterparts. Our main result is an explicit formula for the Me…
Unimodality of Boolean and monotone stable distributions
Takahiro Hasebe, Noriyoshi Sakuma
We give a complete list of the Lebesgue-Jordan decomposition of Boolean and monotone stable distributions and a complete list of the mode of them. They are not always unimodal.