## Electronic Communications in Probability

### A note on directed polymers in gaussian environments

#### Abstract

We study the problem of directed polymers in gaussian environments in $\mathbb{Z}^d$ from the viewpoint of a gaussian family indexed by the set of random walk paths. In the zero-temperature case, we give a numerical bound on the maximum of the Hamiltonian, whereas in the finite temperature case, we establish an equivalence between the "very strong disorder" and the growth rate of the entropy associated to the model

#### Article information

Source
Electron. Commun. Probab., Volume 14 (2009), paper no. 50, 518-528.

Dates
Accepted: 24 September 2009
First available in Project Euclid: 6 June 2016

https://projecteuclid.org/euclid.ecp/1465234759

Digital Object Identifier
doi:10.1214/ECP.v14-1509

Mathematical Reviews number (MathSciNet)
MR2564486

Zentralblatt MATH identifier
1191.60123

Subjects
Primary: 60K37: Processes in random environments

Rights

#### Citation

Hu, Yueyun; Shao, Qi-Man. A note on directed polymers in gaussian environments. Electron. Commun. Probab. 14 (2009), paper no. 50, 518--528. doi:10.1214/ECP.v14-1509. https://projecteuclid.org/euclid.ecp/1465234759

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