Evolution of Concentration Under Lattice Spin-Flip Dynamics

نویسندگان

چکیده

We consider spin-flip dynamics of configurations in $\{-1,1\}^{\mathbb{Z}^d}$, and study the time evolution concentration inequalities. For "weakly interacting" we show that Gaussian bound is conserved course it satisfied by unique stationary Gibbs measure. Next that, for a general class translation-invariant dynamics, impossible to evolve finite from low-temperature state towards measure satisfying bound. Finally, weaker uniform variance bound, this under dynamics.

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ژورنال

عنوان ژورنال: Journal of Statistical Physics

سال: 2021

ISSN: ['0022-4715', '1572-9613']

DOI: https://doi.org/10.1007/s10955-021-02796-0