paper

Positive temperature versions of two theorems on first-passage percolation

arXiv:1301.7040

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.

15 pp; to appear in GAFA Seminar Notes