Updated on 2024/11/04

写真a

 
OSADA Shota
 
Organization
Research Field in Education, Law, Economics and the Humanities Area Faculty of Education Teacher Education Course (Mathematics Education) Assistant Professor
Title
Assistant Professor
Contact information
メールアドレス
External link

Research Interests

  • Probbility

  • Ergodic theory

Research Areas

  • Natural Science / Mathematical analysis

  • Natural Science / Basic analysis

  • Natural Science / Applied mathematics and statistics

Research History

  • Kagoshima University   Assistant Professor

    2022.4

Professional Memberships

  • The Mathematical Society of Japan

    2018.10

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Papers

  • Shinto Teramoto, Shizuo Kaji, Shota Osada .  The Internal Network Structure that Affects Firewall Vulnerability .  The Law and Ethics of Data Sharing in Health SciencesPart F2045   173 - 198   2023.12Reviewed

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    Authorship：Corresponding author   Language：Japanese   Publishing type：Part of collection (book)   Publisher：Springer Nature Singapore  

    DOI： https://doi.org/10.1007/978-981-99-6540-3_10

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

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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

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  • Shota OSADA .  Isomorphisms between determinantal point processes with translation-invariant kernels and Poisson point processes .  Ergodic Theory and Dynamical Systems41 ( 12 ) 3807 - 3820   2021.12 Isomorphisms between determinantal point processes with translation-invariant kernels and Poisson point processesReviewed

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    Publishing type：Research paper (scientific journal)  

    DOI： 10.1017/etds.2020.123

  • Shota Osada .  Tree representations of α-determinantal point processes .  RIMS Kôkyûroku BessatsuB79   33 - 49   2020.4Tree representations of α-determinantal point processesReviewed

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    Authorship：Corresponding author  

  • Hirofumi Osada, Shota Osada .  Discrete Approximations of Determinantal Point Processes on Continuous Spaces: Tree Representations and Tail Triviality .  Journal of Statistical Physics 170   421 - 435   2018.1Discrete Approximations of Determinantal Point Processes on Continuous Spaces: Tree Representations and Tail Triviality Reviewed

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  • Shota Osada .  Fourier expansion and discretizations of determinantal point processes .  RIMS Kôkyûroku2030   77 - 83   2017.5 Fourier expansion and discretizations of determinantal point processes

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    Authorship：Corresponding author   Language：Japanese  

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