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タイトル: New high-dimensional examples of ballistic random walks in random environment (Stochastic Analysis on Large Scale Interacting Systems)
著者: Fukushima, Ryoki
Ramirez, Alejandro F.
キーワード: 60K37
82D30
82C41
Random walk in random environment
small perturbations of simple random walk
ballistic behavior
concentration inequalities
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: 109
終了ページ: 122
抄録: We give new criteria for ballistic behavior of random walks in random environment which are perturbations of the simple symmetric random walk on Zd in dimensions d ≥ 4. Our results extend those of Sznitman [Ann. Probab. 31, no. 1, 285-322 (2003)] and the recent ones of Ramĺrez and Saglietti [Preprint, arXiv:1808.01523], and allow us to exhibit new examples in dimensions d ≥ 4 of ballistic random walks which do not satisfy Kalikow's condition. Our criteria implies ballisticity whenever the average of the local drift of the walk is not too small compared with an appropriate moment of the centered environment. The proof relies on a concentration inequality of Boucheron et al. [Ann. Probab. 33, no. 2, 514-560 (2005)].
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/2433/260646
出現コレクション:B79 Stochastic Analysis on Large Scale Interacting Systems

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