Infinite Particle Systems with Hard-Core and Long-Range Interaction

Hideki Tanemura

doi:10.1007/978-981-19-4672-1_25

Infinite Particle Systems with Hard-Core and Long-Range Interaction

Hideki Tanemura

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

A system of Brownian hard balls is regarded as a reflecting Brownian motion in the configuration space and can be represented by a solution to a Skorohod-type equation. In this article, we consider the case that there are an infinite number of balls, and the interaction between balls is given by the long-range pair interaction. We discuss the existence and uniqueness of strong solutions to the infinite-dimensional Skorohod equation.

Original language	English
Title of host publication	Dirichlet Forms and Related Topics - In Honor of Masatoshi Fukushima’s Beiju, IWDFRT 2022
Editors	Zhen-Qing Chen, Masayoshi Takeda, Toshihiro Uemura
Publisher	Springer
Pages	511-533
Number of pages	23
ISBN (Print)	9789811946714
DOIs	https://doi.org/10.1007/978-981-19-4672-1_25
Publication status	Published - 2022
Event	International Conference on Dirichlet Forms and Related Topics, IWDFRT 2022 - Osaka, Japan Duration: 2022 Aug 22 → 2022 Aug 26

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	394
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	International Conference on Dirichlet Forms and Related Topics, IWDFRT 2022
Country/Territory	Japan
City	Osaka
Period	22/8/22 → 22/8/26

Keywords

Infinite particle systems
Skorohod equations
Stochastic differential equations

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1007/978-981-19-4672-1_25

Cite this

Infinite Particle Systems with Hard-Core and Long-Range Interaction. / Tanemura, Hideki.
Dirichlet Forms and Related Topics - In Honor of Masatoshi Fukushima’s Beiju, IWDFRT 2022. ed. / Zhen-Qing Chen; Masayoshi Takeda; Toshihiro Uemura. Springer, 2022. p. 511-533 (Springer Proceedings in Mathematics and Statistics; Vol. 394).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Tanemura, H 2022, Infinite Particle Systems with Hard-Core and Long-Range Interaction. in Z-Q Chen, M Takeda & T Uemura (eds), Dirichlet Forms and Related Topics - In Honor of Masatoshi Fukushima’s Beiju, IWDFRT 2022. Springer Proceedings in Mathematics and Statistics, vol. 394, Springer, pp. 511-533, International Conference on Dirichlet Forms and Related Topics, IWDFRT 2022, Osaka, Japan, 22/8/22. https://doi.org/10.1007/978-981-19-4672-1_25

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abstract = "A system of Brownian hard balls is regarded as a reflecting Brownian motion in the configuration space and can be represented by a solution to a Skorohod-type equation. In this article, we consider the case that there are an infinite number of balls, and the interaction between balls is given by the long-range pair interaction. We discuss the existence and uniqueness of strong solutions to the infinite-dimensional Skorohod equation.",

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note = "Funding Information: Acknowledgements The author is supported in part by JSPS KAKENHI Grant Numbers JP.16H063 38, JP.19H01793. The author thanks Edanz (https://jp.edanz.com/ac) for editing a draft of this manuscript. Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.; International Conference on Dirichlet Forms and Related Topics, IWDFRT 2022 ; Conference date: 22-08-2022 Through 26-08-2022",

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Infinite Particle Systems with Hard-Core and Long-Range Interaction

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Keywords

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