The Burgers equation with a random force and a general model for directed polymers in random environments

被引：0
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作者：
Yuri Kifer
机构：
[1] Institute of Mathematics,
[2] Hebrew University of Jerusalem,undefined
[3] Givat Ram,undefined
[4] Jerusalem 91904,undefined
[5] Israel,undefined
来源：
Probability Theory and Related Fields | 1997年 / 108卷
关键词：
Mathematics Subject Classifiction (1991):Primary: 60H15; Secondary: 60J15; 32Q20; 35R60.;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The study of the Burgers equation with a random force leads via a Hopf-Cole type transformation to a stochastic heat equation having a white noise with spatial parameters type potential. The latter can be studied by means of a general model of directed polymers in random environments with two point random potentials. These models exhibit a Gaussian behavior at large times and have certain stationary distributions which yield the corresponding results for the above stochastic heat and Burgers equations.
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页码：29 / 65
页数：36
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