Zobrazeno 1 - 10
of 165
pro vyhledávání: '"Saigo, Hayato"'
Publikováno v:
Res. Math. Sci.,11, article number 62, (2024)
We extend a certain type of identities on sums of $I$-Bessel functions on lattices, previously given by G. Chinta, J. Jorgenson, A. Karlsson and M. Neuhauser. Moreover we prove that, with continuum limit, the transformation formulas of theta function
Externí odkaz:
http://arxiv.org/abs/2311.06489
Life continuously changes its own components and states at each moment through interaction with the external world, while maintaining its own individuality in a cyclical manner. Such a property, known as "autonomy," has been formulated using the math
Externí odkaz:
http://arxiv.org/abs/2305.15279
Motivated by Aoki et al.'s recent research on conserved charges and entropy current, we investigated the conservation of relativistic Ertel's current, which has received little attention outside the field of geophysical fluid dynamics. Ertel's charge
Externí odkaz:
http://arxiv.org/abs/2203.09763
Autor:
Otsuka, Jun, Saigo, Hayato
We develop a category-theoretic criterion for determining the equivalence of causal models having different but homomorphic directed acyclic graphs over discrete variables. Following Jacobs et al. (2019), we define a causal model as a probabilistic i
Externí odkaz:
http://arxiv.org/abs/2201.06981
Autor:
Uchiyama, Kazuharu, Nakajima, Sota, Suzui, Hirotsugu, Chauvet, Nicolas, Saigo, Hayato, Horisaki, Ryoichi, Uchida, Kingo, Naruse, Makoto, Hori, Hirokazu
We have previously observed an irregular spatial distribution of photon transmission through a photochromic crystal photoisomerized by a local optical near-field excitation, manifesting complex branching processes via the interplay of deformation of
Externí odkaz:
http://arxiv.org/abs/2111.09462
Autor:
Saigo, Hayato
In the present paper we propose a new approach to quantum fields in terms of category algebras and states on categories. We define quantum fields and their states as category algebras and states on causal categories with partial involution structures
Externí odkaz:
http://arxiv.org/abs/2108.12936
Autor:
Saigo, Hayato
The purpose of this paper is to build a new bridge between category theory and a generalized probability theory known as noncommutative probability or quantum probability, which was originated as a mathematical framework for quantum theory, in terms
Externí odkaz:
http://arxiv.org/abs/2105.13642
Autor:
Maeda, Shion, Chauvet, Nicolas, Saigo, Hayato, Hori, Hirokazu, Bachelier, Guillaume, Huant, Serge, Naruse, Makoto
Collective decision making is important for maximizing total benefits while preserving equality among individuals in the competitive multi-armed bandit (CMAB) problem, wherein multiple players try to gain higher rewards from multiple slot machines. T
Externí odkaz:
http://arxiv.org/abs/2010.13086
Autor:
Chauvet, Nicolas, Bachelier, Guillaume, Huant, Serge, Saigo, Hayato, Hori, Hirokazu, Naruse, Makoto
Situations involving competition for resources among entities can be modeled by the competitive multi-armed bandit (CMAB) problem, which relates to social issues such as maximizing the total outcome and achieving the fairest resource repartition amon
Externí odkaz:
http://arxiv.org/abs/2007.09146
Autor:
Hasegawa, Takehiro, Komatsu, Takashi, Konno, Norio, Saigo, Hayato, Saito, Seiken, Sato, Iwao, Sugiyama, Shingo
Publikováno v:
Ann. Comb., 27, 249-268 (2023)
We give a limit theorem with respect to the matrices related to non-backtracking paths of a regular graph. The limit obtained closely resembles the $k$th moments of the arcsine law. Furthermore, we obtain the asymptotics of the averages of the $p^m$t
Externí odkaz:
http://arxiv.org/abs/2005.09341