Spectral gap inequality for a colored disordered lattice gas

Abstract

We establish a spectral gap property related to a model called colored disordered lattice gas. The main, result is stated for an auxiliary Markov generator which, thanks to the general strategy developped in the work of Caputo [1], produces a uniform Poincaré inequality with respect to the original dynamics of the model. © 2008 Springer-Verlag Berlin Heidelberg.