## Electronic Communications in Probability

### Sharp asymptotics for the free energy of 1+1 dimensional directed polymers in an infinitely divisible environment

Frédérique Watbled

#### 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.

#### Article information

Source
Electron. Commun. Probab., Volume 17 (2012), paper no. 53, 9 pp.

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

https://projecteuclid.org/euclid.ecp/1465263186

Digital Object Identifier
doi:10.1214/ECP.v17-2221

Mathematical Reviews number (MathSciNet)
MR2999981

Zentralblatt MATH identifier
1306.60154

Rights

#### Citation

Watbled, Frédérique. Sharp asymptotics for the free energy of 1+1 dimensional directed polymers in an infinitely divisible environment. Electron. Commun. Probab. 17 (2012), paper no. 53, 9 pp. doi:10.1214/ECP.v17-2221. https://projecteuclid.org/euclid.ecp/1465263186

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