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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Cumulants, Spreadability and the Campbell-Baker-Hausdorff Series
Takahiro Hasebe,Franz Lehner +1 more
TL;DR: In this article, the authors define spreadability systems as a generalization of exchangeability systems in order to unify various notions of independence and cumulants known in noncommutative probability.
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Analytic Continuations of Fourier and Stieltjes Transforms and Generalized Moments of Probability Measures
TL;DR: In this paper, the convergence of probability measures to Cauchy distributions with respect to tensor, free, Boolean and monotone convolutions is studied, and the authors define complex moments for some class of probabilities which do not have moments in the usual sense.
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Limit theorems in bi-free probability theory
TL;DR: 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 self-adjoint commuting random variables in an infinitesimal triangular array are determined.
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The normal distribution is freely selfdecomposable
TL;DR: The class of self-decomposable distributions in free probability theory was introduced by Barndorff-Nielsen and the third named author as discussed by the authors, who proved that the Askey-Wimp-Kerov distribution is freely self-composable.
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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.