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タイトル: Quenched lower large deviation for the first passage time of the frog model in random initial configurations (Stochastic Analysis on Large Scale Interacting Systems)
著者: Kubota, Naoki
キーワード: 60K35
60F10
Frog model
simple random walk
random environment
time constant
発行日: Apr-2020
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: B79
開始ページ: 139
終了ページ: 147
抄録: We consider the so-called frog model with random initial configurations. The dynamics of this model are described as follows: Some particles are randomly assigned to any site of the multidimensional cubic lattice. Initially, only particles at the origin are active and these independently perform simple random walks. The other particles are sleeping and do not move at first. When sleeping particles are hit by an active particle, they become active and start moving in a similar fashion. In this paper, we study the behavior of the first passage time at which an active particle reaches a target site, and provide an upper bound on a quenched lower large deviation for the first passage time.
記述: "Stochastic Analysis on Large Scale Interacting Systems". November 5-8, 2018. edited by Ryoki Fukushima, Tadahisa Funaki, Yukio Nagahata, Hirofumi Osada and Kenkichi Tsunoda. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.
著作権等: © 2020 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved.
URI: http://hdl.handle.net/2433/260648
出現コレクション:B79 Stochastic Analysis on Large Scale Interacting Systems

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