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Large deviation rate functions for the partition function in a log-gamma distributed random particle

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posted on 2023-06-08, 16:17 authored by Nicos GeorgiouNicos Georgiou, Timo Seppäläinen
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.

History

Publication status

  • Published

File Version

  • Published version

Journal

Annals of Probability

ISSN

0091-1798

Publisher

Institute of Mathematical Statistics

Issue

6

Volume

41

Page range

4248-4286

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2013-11-11

First Open Access (FOA) Date

2014-07-21

First Compliant Deposit (FCD) Date

2013-11-11

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