Large deviation rate functions for the partition function in a log-gamma distributed random potential
نویسندگان
چکیده
منابع مشابه
Large Deviation Rate Functions for the Partition Function in a Log-gamma Distributed Random Potential
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 1+1-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 dim...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2013
ISSN: 0091-1798
DOI: 10.1214/12-aop768