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 Electronic Communications in Probability > Vol. 14 (2009) > Paper 50 open journal systems 


A note on directed polymers in gaussian environments

Yueyun Hu, Université Paris XIII
Qi-Man Shao, The Hong Kong University of Science and Technology


Abstract
We study the problem of directed polymers in gaussian environments in Zd 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


Full text: PDF

Pages: 518-528

Published on: November 26, 2009
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Electronic Communications in Probability. ISSN: 1083-589X