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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Free infinite divisibility for beta distributions and related ones
TL;DR: In this paper, it was shown that many of the distributions are freely infinitely divisible, but some of them are not, due to a local property of probability density functions, and that the Gaussian, many of ultraspherical and Student t-distributions have free divisibility indicator 1.
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Conditionally monotone independence I: Independence, additive convolutions and related convolutions
TL;DR: In this article, a conditionally monotone product of algebraic probability spaces equipped with two states is defined, and the associated cumulants are defined for a general convolution to analyze the deformed convolutions.
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Classical and free infinite divisibility for Boolean stable laws
TL;DR: In this paper, it was shown that the Boolean stable law is freely infinitely divisible if and only if one of the following conditions holds: $0 < α, α ≤ 1 2, α ≤ 2 2.
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Noncommutative probability of type D
TL;DR: In this article, a deformed Fock space and a Brownian motion coming from Coxeter groups of type D were constructed, analogous to that of the q-Fock space.
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Classical and free infinite divisibility for Boolean stable laws
TL;DR: In this article, it was shown that the Boolean stable law is freely infinitely divisible if and only if one of the following conditions holds: $0 < α, α ≤ 1 2, α ≤ 2 2.