Strong disorder for a certain class of directed polymers in a random environment

Details Strong disorder for a certain class of directed polymers in a random environment Strong disorder for a certain class of directed polymers in a random environment

2004-03-25

arxiv.org/abs/math/0403439v1

Mathematics

Probability

16 pages, submitted to Journal of Theoretical Probability

Scientific paper

We study a model of directed polymers with an exponentially recurrent Markov
chain and an indefinitely divisible random environment. We prove that the
normalized partition function converges exponentially fast towards zero at all
temperatures.

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