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2009 A note on directed polymers in gaussian environments
Yueyun Hu, Qi-Man Shao
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Electron. Commun. Probab. 14: 518-528 (2009). DOI: 10.1214/ECP.v14-1509


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


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Yueyun Hu. Qi-Man Shao. "A note on directed polymers in gaussian environments." Electron. Commun. Probab. 14 518 - 528, 2009.


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

zbMATH: 1191.60123
MathSciNet: MR2564486
Digital Object Identifier: 10.1214/ECP.v14-1509

Primary: 60K37

Keywords: Directed polymer , gaussian environment

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