Spectral gap estimates for interacting particle systems via a Bochner-type identity

Details Spectral gap estimates for interacting particle systems via a Bochner-type identity Spectral gap estimates for interacting particle systems via a Bochner-type identity

2005-05-25

arxiv.org/abs/math/0505533v3

J. Funct. Anal. 232 (2006), no. 1, 222-258

Mathematics

Probability

Scientific paper

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.

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