Study on asymptotic behavior of stochastic interface models
Study on asymptotic behavior of stochastic interface models
批准号:
23740086
负责人:
SAKAGAWA Hironobu
金额:
$1.41万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Young Scientists (B)
财政年份:
2011
资助国家:
日本
项目状态:
已结题
起止时间:
2011 至 2013
中文摘要
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英文摘要
In this research, we considered several stochastic models on lattice and studied its asymptotic behavior for the mathematical analysis of phase separating interface and membrane. We first considered Laplacian phi model as a model of membrane and studied its free energy under the effect of two types of external potentials. We also considered a Gaussian process which appears in the time evolution of gradient phi interface model and obtained estimates on its persistence probability.
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Persistence probability for a class of Gaussian processes related to random interface models
与随机界面模型相关的一类高斯过程的持续概率
DOI:
--
发表时间:
2015
期刊:
Advances in Applied Probability
影响因子:
1.2
作者:
[寺本敬, 櫻井泰良, 神谷武志, 新城宏隆, 山口浩, 塩沢 裕一, Hironobu Sakagawa]
通讯作者:
Hironobu Sakagawa
DOI:
--
发表时间:
期刊:
影响因子:
--
作者:
[Makoto Kikuchi, Taishi Kurahashi, Hiroshi Sakai, 坂川博宣]
通讯作者:
坂川博宣
Persistence probability for a class of Gaussian processes related to random in terface models
与随机接口模型相关的一类高斯过程的持续概率
DOI:
--
发表时间:
2013
期刊:
影响因子:
--
作者:
[坂川 博宣]
通讯作者:
坂川 博宣
Persistence probability for a class of Gaussian processe related to random interface models
与随机界面模型相关的一类高斯过程的持续概率
DOI:
--
发表时间:
期刊:
影响因子:
--
作者:
[M. Kikuchi, T. Kurahashi and H. Sakai, Hiroki Masuda, 坂川 博宣]
通讯作者:
坂川 博宣
Persistence probability for a class of Gaussian processes related to random interface models
与随机界面模型相关的一类高斯过程的持续概率
DOI:
--
发表时间:
2015
期刊:
Advances in Applied Probability
影响因子:
1.2
作者:
[Hironobu Sakagawa]
通讯作者:
Hironobu Sakagawa
共 6 条
Study on random fields with long range correlations related to phase separating interfaces
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批准号:26400147
-
项目类别:Grant-in-Aid for Scientific Research (C)
-
资助金额:$1.75万
-
财政年份:2014
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负责人:SAKAGAWA Hironobu
-
依托单位:
Stochastic analysis on the phase separating random interface
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批准号:19740054
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项目类别:Grant-in-Aid for Young Scientists (B)
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资助金额:$1.45万
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财政年份:2007
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负责人:SAKAGAWA Hironobu
-
依托单位:
海外基金