47 citations · 322 across the 54 of their papers we have counts for
6 papers · 1 filter
Limit theorems for free Lévy processes
Octavio Arizmendi, Takahiro Hasebe
We consider different limit theorems for additive and multiplicative free Lévy processes. The main results are concerned with positive and unitary multiplicative free Lévy processe…
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…
Large time unimodality for classical and free Brownian motions with initial distributions
Takahiro Hasebe, Yuki Ueda
We prove that classical and free Brownian motions with initial distributions are unimodal for sufficiently large time, under some assumption on the initial distributions. The assum…
Limit theorems in bi-free probability theory
Takahiro Hasebe, Hao-Wei Huang, Jiun-Chau Wang
In this paper additive bi-free convolution is defined for general Borel probability measures, and the limiting distributions for sums of bi-free pairs of selfadjoint commuting rand…
The normal distribution is freely selfdecomposable
Takahiro Hasebe, Noriyoshi Sakuma, Steen Thorbjørnsen
The class of selfdecomposable distributions in free probability theory was introduced by Barndorff-Nielsen and the third named author. It constitutes a fairly large subclass of the…