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...
Main Authors: | , , |
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Other Authors: | |
Format: | Article |
Language: | English |
Published: |
Springer Berlin Heidelberg
2022
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Online Access: | https://hdl.handle.net/1721.1/141917 |