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Spectral gap estimates for interacting particle systems via a Bochner-type identity |
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| Authors: | Anne-Severine Boudou Gustavo Posta |
| Affiliation: | a Dipartimento di Matematica Pura e Applicata, Università di Padova, Via Belzoni 7, 35131 Padova, Italy b Dipartimento di Matematica, Università di Roma 3, L.go S. Murialdo 1, 00146 Roma, Italy c Dipartimento di Matematica, Politecnico di Milano, Piazza L. Da Vinci 32, 20133 Milano, Italy |
| 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. |
| Keywords: | Spectral gap estimates Interacting particle systems |
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