The Burgers equation with a random force and a general model for directed polymers in random environments |
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Authors: | Yuri Kifer |
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Affiliation: | (1) Institute of Mathematics, Hebrew University of Jerusalem, Givat Ram, Jerusalem 91904, Israel, IL |
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Abstract: | Summary. 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. Received: 18 July 1995 / In revised form: 5 August 1995 |
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Keywords: | Mathematics Subject Classifiction (1991):Primary: 60H15 Secondary: 60J15 32Q20 35R60. |
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