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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 | |
|---|---|---|---|---|
| B59-10.pdf | 5.34 MB | Adobe PDF | 見る/開く |
| タイトル: | Extrema of logarithmically correlated random field: Known and new results (Stochastic Analysis on Large Scale Interacting Systems) |
| 著者: | Abe, Yoshihiro |
| 著者名の別形: | アベ, ヨシヒロ |
| キーワード: | 60J55 60G70 60G57 Local time Branching random walk Branching Brownian motion Discrete Gaussian free field |
| 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: | 117 |
| 終了ページ: | 128 |
| 抄録: | In this paper, we have two main purposes. Firstly, we describe known results on extrema of logarithmically correlated random fields such as the branching Brownian motion, the branching random walk, the two-dimensional discrete Gaussian free field, and cover times of the two-dimensional torus and the binary tree. Secondly, we announce a new result on extrema of local times for the simple random walk on the b-ary tree. |
| 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/2433/243597 |
| 出現コレクション: | B59 Stochastic Analysis on Large Scale Interacting Systems |
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