TY - GEN
T1 - Infinite Particle Systems with Hard-Core and Long-Range Interaction
AU - Tanemura, Hideki
N1 - 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:
© 2022, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
PY - 2022
Y1 - 2022
N2 - 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.
AB - 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.
KW - Infinite particle systems
KW - Skorohod equations
KW - Stochastic differential equations
UR - http://www.scopus.com/inward/record.url?scp=85138010669&partnerID=8YFLogxK
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U2 - 10.1007/978-981-19-4672-1_25
DO - 10.1007/978-981-19-4672-1_25
M3 - Conference contribution
AN - SCOPUS:85138010669
SN - 9789811946714
T3 - Springer Proceedings in Mathematics and Statistics
SP - 511
EP - 533
BT - Dirichlet Forms and Related Topics - In Honor of Masatoshi Fukushima’s Beiju, IWDFRT 2022
A2 - Chen, Zhen-Qing
A2 - Takeda, Masayoshi
A2 - Uemura, Toshihiro
PB - Springer
T2 - International Conference on Dirichlet Forms and Related Topics, IWDFRT 2022
Y2 - 22 August 2022 through 26 August 2022
ER -