Electronic Communications in Probability
- Electron. Commun. Probab.
- Volume 17 (2012), paper no. 53, 9 pp.
Sharp asymptotics for the free energy of 1+1 dimensional directed polymers in an infinitely divisible environment
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.
Electron. Commun. Probab., Volume 17 (2012), paper no. 53, 9 pp.
Accepted: 11 November 2012
First available in Project Euclid: 7 June 2016
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 60K37: Processes in random environments
Secondary: 82D30: Random media, disordered materials (including liquid crystals and spin glasses) 60E07: Infinitely divisible distributions; stable distributions
This work is licensed under a Creative Commons Attribution 3.0 License.
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