Mathematics – Probability
Scientific paper
2011-10-17
Mathematics
Probability
33 pages, 3 figures. One figure added to the previous version, two more remarks added, typos fixed
Scientific paper
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.
Georgiou Nicos
Seppalainen Timo
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