Updated on 2023/10/23

写真a

 
OSADA Shouta
 
Organization
Research Field in Education, Law, Economics and the Humanities Area Faculty of Education Teacher Education Course (Mathematics Education) Assistant Professor
Title
Assistant Professor

Research Interests

  • Probbility

  • Ergodic theory

Research Areas

  • Natural Science / Mathematical analysis

Research History

  • Kagoshima University   Assistant Professor

    2022.4

Professional Memberships

  • The Mathematical Society of Japan

    2018.10

 

Papers

  • Hirofumi Osada, Shota Osada .  Ergodicity of unlabeled dynamics of Dyson’s model in infinite dimensions .  Journal of Mathematical Physics64 ( 4 ) 043505 - 043505   2023.4Reviewed

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    Language：Japanese   Publishing type：Research paper (scientific journal)   Publisher：AIP Publishing  

    Dyson’s model in infinite dimensions is a system of Brownian particles that interact via a logarithmic potential with an inverse temperature of β = 2. The stochastic process can be represented by the solution to an infinite-dimensional stochastic differential equation. The associated unlabeled dynamics (diffusion process) are given by the Dirichlet form with the sine<sub>2</sub> point process as a reference measure. In a previous study, we proved that Dyson’s model in infinite dimensions is irreducible, but left the ergodicity of the unlabeled dynamics as an open problem. In this paper, we prove that the unlabeled dynamics of Dyson’s model in infinite dimensions are ergodic.

    DOI： 10.1063/5.0086873

    Scopus

  • Shota OSADA .  Isomorphisms between determinantal point processes with translation-invariant kernels and Poisson point processes .  Ergodic Theory Dynam. Systems41 ( 12 ) 3807 - 3820   2021Reviewed

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： doi:10.1017/etds.2020.123