Spectral gap estimates for interacting particle systems via a Bochner-type identity
Probability
2010-10-11 v3 Mathematical Physics
math.MP
Abstract
We develop a general technique, based on a Bochner-type identity, to estimate spectral gaps of a class of Markov operator. We apply this technique to various interacting particle systems. In particular, we give a simple and short proof of the diffusive scaling of the spectral gap of the Kawasaki model at high temperature. Similar results are derived for Kawasaki-type dynamics in the lattice without exclusion, and in the continuum. New estimates for Glauber-type dynamics are also obtained.
Cite
@article{arxiv.math/0505533,
title = {Spectral gap estimates for interacting particle systems via a Bochner-type identity},
author = {Anne-Severine Boudou and Pietro Caputo and Paolo Dai Pra and Gustavo Posta},
journal= {arXiv preprint arXiv:math/0505533},
year = {2010}
}