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

Frederique Watbled (1)

1 LMBA - Laboratoire de Mathématiques de Bretagne Atlantique

We give sharp estimates for the free energy of directed polymers in random environment in dimension 1+1. These estimates were known for a gaussian environment, we extend them to the case where the law of the environment is infinitely divisible.

Mots clés: directed polymers in random environment; free energy; infinite divisibility; FKG inequality

Domaines: Probabilités [math.PR]

Frederique Watbled. Sharp asymptotics for the free energy of 1+1 dimensional directed polymers in an infinitely divisible environment. Electronic Journal of Probability, 2012, pp.vol 17. ⟨10.1214/ECP.v17-2221⟩. ⟨hal-00723044⟩