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2012 Sharp asymptotics for the free energy of 1+1 dimensional directed polymers in an infinitely divisible environment
Frédérique Watbled
Author Affiliations +
Electron. Commun. Probab. 17: 1-9 (2012). DOI: 10.1214/ECP.v17-2221

Abstract

We give sharp estimate for the free energy of directed polymers in random environment in dimension 1+1. This estimate was known for a Gaussian environment, we extend it to the case where the law of the environment is infinitely divisible.

Citation

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Frédérique Watbled. "Sharp asymptotics for the free energy of 1+1 dimensional directed polymers in an infinitely divisible environment." Electron. Commun. Probab. 17 1 - 9, 2012. https://doi.org/10.1214/ECP.v17-2221

Information

Accepted: 11 November 2012; Published: 2012
First available in Project Euclid: 7 June 2016

zbMATH: 1306.60154
MathSciNet: MR2999981
Digital Object Identifier: 10.1214/ECP.v17-2221

Subjects:
Primary: 60K37
Secondary: 60E07 , 82D30

Keywords: directed polymers in random environment , FKG inequality , Free energy , Infinite divisibility

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