担当区分：責任著者   記述言語：日本語   掲載種別：論文集(書籍)内論文   出版者・発行元：Perspectives in Law, Business and Innovation  

Sharing extensive healthcare information is essential for the advancement of medicine and the formulation of effective public health policies. However, it often contains sensitive or personal information, or trade secrets. Certain safety measures are needed to strike a balance between the sharing of data and the protection of such information. A firewallFirewall is one of the major safety measures designed to prevent the delivery of protected information by severing harmful connections or limiting the formation of new connections between relevant parties in an information exchange network. Although very simple models suggest firewallFirewall vulnerabilities, such models often oversimplify real-world scenarios, neglecting factors like internal connections among nodes and the influence of other information held by nodes. Therefore, we propose several improved models and use them to explore some of the reasons why firewalls fail. Our study finds that firewallsFirewall are less effective as the number of network nodes increases, and that both high- and low-degree nodes pose non-negligible risks. The study also raises awareness about the role of internal monitors in preventing leaks. The effectiveness of information leakage control could be increased with the monitor's proximity to the information source. This necessitates a greater focus on internal monitoring, perhaps using information and communication technology.

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

Scopus

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記述言語：日本語   掲載種別：研究論文（学術雑誌）   出版者・発行元：Journal of Mathematical Physics  

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 sine2 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

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掲載種別：研究論文（学術雑誌）  

DOI： 10.1017/etds.2020.123

担当区分：責任著者  

担当区分：責任著者  

DOI： https://doi.org/10.1007/s10955-017-1928-2

DOI： https://doi.org/10.1007/s10955-017-1928-2

We consider the stochastic dynamics of infinite particle systems in
$\mathbb{R}^d$ interacting through the $d$-dimensional Coulomb potential. For
arbitrary inverse temperature $\beta>0$ and all dimensions $d\ge2$, we
construct solutions to the associated infinite-dimensional stochastic
differential equations (ISDEs). Our main results establish the existence of
strong solutions and their pathwise uniqueness. The resulting labeled process
is an $(\mathbb{R}^d)^N$-valued diffusion with no invariant measure, while the
associated unlabeled process is reversible with respect to the Coulomb random
point field. Furthermore, we prove that finite-particle systems converge to
these infinite-particle dynamics, thereby providing a rigorous foundation for
Coulomb interacting Brownian motion.

arXiv

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その他リンク： http://arxiv.org/pdf/2508.21658v3

開催年月日： 2025年7月

記述言語：英語   会議種別：ポスター発表  

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開催年月日： 2025年1月

会議種別：口頭発表（一般）  

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開催年月日： 2024年12月

会議種別：口頭発表（一般）  

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開催年月日： 2024年11月

会議種別：口頭発表（一般）  

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開催年月日： 2024年8月

記述言語：英語   会議種別：ポスター発表  

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