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Title: On the probability that Laplacian interface models stay positive in subcritical dimensions (Stochastic Analysis on Large Scale Interacting Systems)
Authors: Sakagawa, Hironobu
Keywords: 60K35
82B24
82B41
random interface
membrane
Gibbs measure
Gaussian field
Issue Date: Jul-2016
Publisher: Research Institute for Mathematical Sciences, Kyoto University
Journal title: 数理解析研究所講究録別冊 = RIMS Kokyuroku Bessatsu
Volume: B59
Start page: 273
End page: 288
Abstract: 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.
Description: "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.
Rights: © 2016 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved.
URI: http://hdl.handle.net/2433/243607
Appears in Collections:B59 Stochastic Analysis on Large Scale Interacting Systems

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