22 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Kyoto UniversityJP6 papers
- Nagoya UniversityJP6 papers
- University of YamanashiJP6 papers
- The University of TokyoJP5 papers
- Centre National de la Recherche ScientifiqueFR3 papers
- Institut NéelFR3 papers
- National Institute of Information and Communications TechnologyJP3 papers
- Shiga UniversityJP3 papers
- Université Grenoble AlpesFR3 papers
- Kogakuin UniversityJP2 papers
- Kyushu UniversityJP2 papers
- Nihon UniversityJP2 papers
21 papers
Lattice sums of -Bessel functions, theta functions, linear codes and heat equations
Takehiro Hasegawa, Hayato Saigo, Seiken Saito +1
We extend a certain type of identities on sums of -Bessel functions on lattices, previously given by G. Chinta, J. Jorgenson, A. Karlsson and M. Neuhauser. Moreover we prove tha…
Conserved relativistic Ertel's current generating the vortical and thermodynamic aspects of spacetime
Hirofumi Sakuma, Izumi Ojima, Hayato Saigo +1
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 att…
Entangled and correlated photon mixed strategy for social decision making
Shion Maeda, Nicolas Chauvet, Hayato Saigo +4
Collective decision making is important for maximizing total benefits while preserving equality among individuals in the competitive multi-armed bandit (CMAB) problem, wherein mult…
Entangled N-photon states for fair and optimal social decision making
Nicolas Chauvet, Guillaume Bachelier, Serge Huant +3
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 limit theorem with respect to the matrices on non-backtracking paths of a graph
Takehiro Hasegawa, Takashi Komatsu, Norio Konno +4
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 th moments of the arcsine law…
Sustainability and Fairness Simulations Based on Decision-Making Model of Utility Function and Norm Function
Takeshi Kato, Yasuyuki Kudo, Junichi Miyakoshi +6
We introduced a decision-making model based on value functions that included individualistic utility function and socio-constructivistic norm function and proposed a norm-fostering…
Rational Choice Hypothesis as X-point of Utility Function and Norm Function
Takeshi Kato, Yasuyuki Kudo, Junichi Miyakoshi +5
Towards the realization of a sustainable, fair and inclusive society, we proposed a novel decision-making model that incorporates social norms in a rational choice model from the s…
Quantum Walk and Dressed Photon
Misa Hamano, Hayato Saigo
A physical model called dressed photons, a composite system of photons and excitation of electrons in the nano-particles, is effectively used in the realm of near-field optics. Man…
Category theory as a foundation for soft robotics
Hayato Saigo, Makoto Naruse, Kazuya Okamura +2
Soft robotics is an emerging field of research where the robot body is composed of compliant and soft materials. It allows the body to bend, twist, and deform to move or to adapt i…
Local reservoir model for choice-based learning
Makoto Naruse, Eiji Yamamoto, Takashi Nakao +6
Decision making based on behavioral and neural observations of living systems has been extensively studied in brain science, psychology, and other disciplines. Decision-making mech…
Entangled-photon decision maker
Nicolas Chauvet, David Jegouso, Benoît Boulanger +7
The competitive multi-armed bandit (CMAB) problem is related to social issues such as maximizing total social benefits while preserving equality among individuals by overcoming con…
Scalable photonic reinforcement learning by time-division multiplexing of laser chaos
Makoto Naruse, Takatomo Mihana, Hirokazu Hori +4
Reinforcement learning involves decision making in dynamic and uncertain environments and constitutes a crucial element of artificial intelligence. In our previous work, we experim…
A quantum probabilistic approach to Hecke algebras for -adic
Takehiro Hasegawa, Hayato Saigo, Seiken Saito +1
The subject of the present paper is an application of quantum probability to -adic objects. We give a quantum-probabilistic interpretation of the spherical Hecke algebra for ${\…
Meanings, Metaphors, and Morphisms: Theory of Indeterminate Natural Transformation (TINT)
Miho Fuyama, Hayato Saigo
In the present paper, we propose a new theory named "Theory of indeterminate natural transformation (TINT)" to investigate the dynamical creation of meanings as association relatio…
Photon localization revisited
Izumi Ojima, Hayato Saigo
In the light of Newton-Wigner-Wightman theorem of localizability question, we have proposed before a typical generation mechanism of effective mass for photons to be localized in t…
Local state and sector theory in local quantum physics
Izumi Ojima, Kazuya Okamura, Hayato Saigo
We define a new concept of local states in the framework of algebraic quantum field theory (AQFT). Local states are a natural generalization of states and give a clear vision of lo…
On operator-valued monotone independence
Takahiro Hasebe, Hayato Saigo
We investigate operator-valued monotone independence, a noncommutative version of independence for conditional expectation. First we introduce operator-valued monotone cumulants to…
Arcsine Law as the Classical Limit for interacting Fock spaces
Hayato Saigo
In the present paper we discuss how to generalize ``Quantum-Classical Correspondence'' by means of the notion of interacting Fock spaces, which associates algebraic probability the…
Derivation of Born Rule from Algebraic and Statistical Axioms
Izumi Ojima, Kazuya Okamura, Hayato Saigo
In the present paper we propose a new axiomatic system of algebraic and statistical axioms as working hypotheses, from which Born rule can be seen to emerge. In this process the co…
Who has seen a free photon?
Izumi Ojima, Hayato Saigo
While the notion of the position of photons is indispensable in the quantum optical situations, it has been known in mathematical physics that any position operator cannot be defin…
Joint cumulants for natural independence
Takahiro Hasebe, Hayato Saigo
Many kinds of independence have been defined in non-commutative probability theory. Natural independence is an important class of independence; this class consists of five independ…