Strong disorder for a certain class of directed polymers in a random environment
Probability
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0403439,
title = {Strong disorder for a certain class of directed polymers in a random environment},
author = {Philippe Carmona and Francesco Guerra and Yueyun Hu and Olivier Mejane},
journal= {arXiv preprint arXiv:math/0403439},
year = {2007}
}
Comments
16 pages, submitted to Journal of Theoretical Probability