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.
Papers
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The monotone cumulants
Takahiro Hasebe,Hayato Saigo +1 more
TL;DR: In this article, a notion of cumulants generalises is defined, which fournit un cadre commun for the theories of probabilites commutatives, libres, booleennes and monotones.
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Relations between cumulants in noncommutative probability
TL;DR: In this paper, the authors express classical, free, Boolean and monotone cumulants in terms of each other, using combinatorics of heaps, pyramids, Tutte polynomials and permutations.
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The Monotone Cumulants
Takahiro Hasebe,Hayato Saigo +1 more
TL;DR: In this article, the notion of generalized cumulants is introduced, which gives a universal framework for commutative, free, Boolean, and especially, monotone probability theories.
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Fock space associated to Coxeter groups of type B
TL;DR: In this article, a generalized Gaussian process coming from Coxeter groups of type B is given by creation and annihilation operators on an ( α, q ) -Fock space, which satisfy the commutation relation.
Posted Content
On the Law of Free Subordinators
TL;DR: In this paper, it was shown that a symmetric distribution is freely infinitely divisible if and only if its square can be represented as the free multiplicative convolution of a free Poisson and a free regular measure.