Large deviation rate functions for the partition function in a log-gamma distributed random potential
Probability
2013-12-17 v3
Abstract
We study right tail large deviations of the logarithm of the partition function for directed lattice paths in i.i.d. random potentials. The main purpose is the derivation of explicit formulas for the -dimensional exactly solvable case with log-gamma distributed random weights. Along the way we establish some regularity results for this rate function for general distributions in arbitrary dimensions.
Cite
@article{arxiv.1110.3544,
title = {Large deviation rate functions for the partition function in a log-gamma distributed random potential},
author = {Nicos Georgiou and Timo Seppäläinen},
journal= {arXiv preprint arXiv:1110.3544},
year = {2013}
}
Comments
Published in at http://dx.doi.org/10.1214/12-AOP768 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)