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このアイテムのファイル:
| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B59-18.pdf | 5.23 MB | Adobe PDF | 見る/開く |
| タイトル: | Rank-one perturbation formulas for the planar simple random walk in random potentials (Stochastic Analysis on Large Scale Interacting Systems) |
| 著者: | Kubota, Naoki |
| 著者名の別形: | クボタ, ナオキ |
| キーワード: | 60K37 60F10 random walk in random potential concentration inequalities rank-one perturbation formula |
| 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: | 237 |
| 終了ページ: | 252 |
| 抄録: | In this paper, we survey fluctuations around the mean value of the travel cost for the simple random walk in random potentials on the multidimensional cubic lattice. To analyze the fluctuations, it is important to obtain an upper bound on how much travel cost may change when a potentials are changed. Zerner [12, Lemma 12] studied this as a rank-one perturbation formula, and it works very well if the dimension is greater than two. We introduce a new rank-one perturbation formula toward improving the results in the two dimensional case. |
| 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/2433/243605 |
| 出現コレクション: | B59 Stochastic Analysis on Large Scale Interacting Systems |
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