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Georgiou, Nicos and Seppäläinen, Timo (2013) Large deviation rate functions for the partition function in a log-gamma distributed random particle. Annals of Probability, 41 (6). pp. 4248-4286. ISSN 0091-1798
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Official URL: http://dx.doi.org/10.1214/12-AOP768
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 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 dimensions.
Item Type: | Article |
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Schools and Departments: | School of Mathematical and Physical Sciences > Mathematics |
Subjects: | Q Science > QA Mathematics > QA0273 Probabilities. Mathematical statistics |
Related URLs: | |
Depositing User: | Vanessa Styles |
Date Deposited: | 11 Nov 2013 15:03 |
Last Modified: | 03 Jul 2019 00:17 |
URI: | http://sro.sussex.ac.uk/id/eprint/46983 |
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