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...

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Xehetasun bibliografikoak
Egile Nagusiak: Eldan, Ronen, Koehler, Frederic, Zeitouni, Ofer
Beste egile batzuk: Massachusetts Institute of Technology. Department of Mathematics
Formatua: Artikulua
Hizkuntza:English
Argitaratua: Springer Berlin Heidelberg 2022
Sarrera elektronikoa:https://hdl.handle.net/1721.1/141917