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For general ferromagnetic Ising models whose coupling matrix has bounded spectral radius, we show that the log-Sobolev constant satisfies a simple bound expressed only in terms of the susceptibility of the model.
Geometric analysis of φ 4 \varphi^{4} fields and Ising models. I, II
M. Aizenman · 1982
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On the renormalized coupling constant and the susceptibility in φ 4 4 \varphi^{4}_{4} field theory and the Ising model in four dimensions
M. Aizenman and R. Graham · 1983
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The logarithmic Sobolev inequality for discrete spin systems on a lattice
D.W. Stroock and B. Zegarliński · 1992
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Lectures on finite Markov chains
L. Saloff-Coste · 1997
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Lectures on Glauber dynamics for discrete spin models
F. Martinelli · 1999
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Sur les inégalités de Sobolev logarithmiques
C. Ané, S. Blachère, D. Chafaï, P. Fougères, I. Gentil, F. Malrieu, C. Roberto, and G. Scheffer · 2000
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The concentration of measure phenomenon
M. Ledoux · 2001
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T. Bodineau and F. Martinelli · 2002
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A. Guionnet and B. Zegarlinski · 2003
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Stability of interfaces and stochastic dynamics in the regime of partial wetting
T. Bodineau and D. Ioffe · 2004
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H. Duminil-Copin, C. Hongler, and P. Nolin · 2011
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Critical Ising on the square lattice mixes in polynomial time
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Spectral Gap Critical Exponent for Glauber Dynamics of Hierarchical Spin Models
R. Bauerschmidt and T. Bodineau · 2020
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N. Anari, V. Jain, F. Koehler, H.T. Pham, and T.-D. Vuong · 2021
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Log-Sobolev inequality for the continuum sine-Gordon model
R. Bauerschmidt and T. Bodineau · 2021
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The effect of free boundary conditions on the Ising model in high dimensions
F. Camia, J. Jiang, and C.M. Newman · 2021
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Log-Sobolev inequality for the φ 2 4 \varphi^{4}_{2} and φ 3 4 \varphi^{4}_{3} measures
R. Bauerschmidt and B. Dagallier · 2022
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