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ファイル | 記述 | サイズ | フォーマット | |
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B59-23.pdf | 5.97 MB | Adobe PDF | 見る/開く |
タイトル: | Dirichlet form approach to interacting particle systems with long range interactions on $mathbb{Z}^{d}$ (Stochastic Analysis on Large Scale Interacting Systems) |
著者: | Esaki, Syota |
著者名の別形: | エサキ, ショウタ |
キーワード: | 60K35 60J27 Interacting particle systems infinitely particle systems Dirichlet form jump type logarithmic potential |
発行日: | Jul-2016 |
出版者: | Research Institute for Mathematical Sciences, Kyoto University |
誌名: | 数理解析研究所講究録別冊 |
巻: | B59 |
開始ページ: | 321 |
終了ページ: | 335 |
抄録: | In this paper we present a general theorem of constructing interacting particle systems with long range interactions on discrete spaces. It can be applied to the system that interaction between particles is given by the logarithmic potential. If its equilibrium measure μ is translation invariant we can construct the system whose particles have a summable jump rate. In addition the decay order of jump rate is restricted by the growth order of the 1-correlation function of the measure μ in general cases. The results are the discrete counter part of the results in [2]. In addition we discuss Glauber dynamics whose equilibrium measures are associated with these long range interactions. |
記述: | "Stochastic Analysis on Large Scale Interacting Systems". October 26~29, 2015. edited by Ryoki Fukushima, Tadahisa Funaki, Yukio Nagahata, Makoto Nakashima, Hirofumi Osada and Yoshiki Otobe. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
著作権等: | © 2016 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
URI: | http://hdl.handle.net/2433/243610 |
出現コレクション: | B59 Stochastic Analysis on Large Scale Interacting Systems |
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