A spectral condition for spectral gap: fast mixing in high-temperature Ising models

Abstract We prove that Ising models on the hypercube with general quadratic interactions satisfy a Poincaré inequality with respect to the natural Dirichlet form corresponding to Glauber dynamics, as soon as the operator norm of the interaction matrix is smaller than 1. The inequality...

Full description

Bibliographic Details
Main Authors: Eldan, Ronen, Koehler, Frederic, Zeitouni, Ofer
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2022
Online Access:https://hdl.handle.net/1721.1/141917