The logarithmic Sobolev inequality for discrete spin systems on a lattice

DOI10.1007/BF02096629zbMath0758.60070OpenAlexW2088794759MaRDI QIDQ1200681

Daniel W. Stroock, Bogusław Zegarliński

Publication date: 16 January 1993

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02096629

zbMATH Keywords

Markov semigroup logarithmic Sobolev inequality Gibbs measure hypercontractivity Gibbs potential lattice spin

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Markov semigroups and applications to diffusion processes (47D07) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

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