Some estimates of the logarithmic Sobolev constants on manifolds with boundary and an application to the Ising models

DOI10.1215/KJM/1250517638zbMath1006.58018OpenAlexW1574411128MaRDI QIDQ1612782

Publication date: 9 March 2003

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250517638

zbMATH Keywords

Neumann boundary condition Ising model logarithmic Sobolev constants spectral gap constants

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Elliptic equations on manifolds, general theory (58J05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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