Spectral gap and logarithmic Sobolev inequality for unbounded conservative spin systems

DOI10.1016/S0246-0203(02)01108-1zbMath1022.60087OpenAlexW1597300024MaRDI QIDQ1863420

G. Panizo, Horng-Tzer Yau, Claudio Landim

Publication date: 11 March 2003

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPB_2002__38_5_739_0

zbMATH Keywords

diffusion processlogarithmic Sobolev inequalitieslarge deviationsDirichlet formGlauber dynamicsspin systemlocal central limit theoremspectral gap of generator

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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