T
Takahiro Hasebe
Researcher at Hokkaido University
Publications - 98
Citations - 848
Takahiro Hasebe is an academic researcher from Hokkaido University. The author has contributed to research in topics: Monotone polygon & Multiplicative function. The author has an hindex of 16, co-authored 93 publications receiving 737 citations. Previous affiliations of Takahiro Hasebe include University of Franche-Comté & Kyoto University.
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On a class of explicit Cauchy-Stieltjes transforms related to monotone stable and free Poisson laws
TL;DR: In this paper, the authors consider a class of probability measures with explicit Cauchy-Stieltjes transforms, including a symmetric beta distribution, a free Poisson law and some beta distributions as special cases.
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Unimodality for free multiplicative convolution with free normal distributions on the unit circle
Takahiro Hasebe,Yuki Ueda +1 more
TL;DR: In this article, the authors study unimodality for free multiplicative convolution with free normal distributions on the unit circle and give four results on unimodal for the case of poisson kernels.
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On monotone convolution and monotone infinite divisivility
TL;DR: In this article, a criterion for infinite divisibility and time evolution of convolution semigroups are studied, and many analogues of the classical results of L\'{e}vy processes hold such as characterizations of subordinators and strictly stable distributions.
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On Free Generalized Inverse Gaussian Distributions
TL;DR: In this article, the authors studied the properties of free Generalized Inverse Gaussian distributions (fGIG) in free probability and showed that fGIG is freely infinitely divisible, free regular and unimodal.
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Bi-monotonic independence for pairs of algebras
TL;DR: In this article, the notion of bi-monotonic independence is introduced as an extension of monotone independence to the two-faced framework for a family of pairs of algebras in a non-commutative space.