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ファイル | 記述 | サイズ | フォーマット | |
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B59-20.pdf | 5.63 MB | Adobe PDF | 見る/開く |
タイトル: | On the probability that Laplacian interface models stay positive in subcritical dimensions (Stochastic Analysis on Large Scale Interacting Systems) |
著者: | Sakagawa, Hironobu |
著者名の別形: | サカガワ, ヒロノブ |
キーワード: | 60K35 82B24 82B41 random interface membrane Gibbs measure Gaussian 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: | 273 |
終了ページ: | 288 |
抄録: | We consider a class of effective interface models on Zd which is known as a model of semi-flexible membrane. The interaction depends on discrete Laplacian and the field displays huge fluctuations when d ≤ 3. We give an estimate of the probability that the field stays positive and its behaviors differ greatly from those of the higher dimensional case or effective interface models with gradient 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/2433/243607 |
出現コレクション: | B59 Stochastic Analysis on Large Scale Interacting Systems |
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