Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593051 | Journal of Functional Analysis | 2006 | 37 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory