Positive temperature versions of two theorems on first-passage percolation
Mathematical Physics
2014-01-07 v2 math.MP
Probability
Spectral Theory
Abstract
The estimates on the fluctuations of first-passsage percolation due to Talagrand (a tail bound) and Benjamini--Kalai--Schramm (a sublinear variance bound) are transcribed into the positive-temperature setting of random Schroedinger operators.
Keywords
Cite
@article{arxiv.1301.7040,
title = {Positive temperature versions of two theorems on first-passage percolation},
author = {Sasha Sodin},
journal= {arXiv preprint arXiv:1301.7040},
year = {2014}
}
Comments
15 pp; to appear in GAFA Seminar Notes