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• W3043110366 abstract "We prove that Ising models on the hypercube with general quadratic interactions satisfy a Poincare 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 implies a control on the mixing time of the Glauber dynamics. Our techniques rely on a localization procedure which establishes a structural result, stating that Ising measures may be decomposed into a mixture of measures with quadratic potentials of rank one, and provides a framework for proving concentration bounds for high temperature Ising models." @default.
• W3043110366 created "2020-07-23" @default.
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• W3043110366 date "2020-07-16" @default.
• W3043110366 modified "2023-09-27" @default.
• W3043110366 title "A Spectral Condition for Spectral Gap: Fast Mixing in High-Temperature Ising Models" @default.
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