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

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.

10 pages, revised version for publication in ECP

References in corpus (2)

• A replica-coupling approach to disordered pinning models
• Exponential inequalities for martingales and asymptotic properties of the free energy of directed polymers in random environment

Cited by in corpus (4)

• Localization of directed polymers with general reference walk
• Directed polymers in a random environment with a defect line
• A remark on the bound for the free energy of directed polymers in random environment in 1+2 dimension
• Localization and free energy asymptotics in disordered statistical mechanics and random growth models