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In this paper we establish some explicit and sharp estimates of the spectral gap and the log-Sobolev constant for mean field particles system, uniform in the number of particles, when the confinement potential have many local minimums.
Topics in propagation of chaos
Alain-Sol Sznitman · 1991
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The equivalence of the logarithmic Sobolev inequality and the Dobrushin-Shlosman mixing condition
D.W. Stroock and B. Zegarliński · 1992
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The logarithmic Sobolev inequality for continuous spin systems on a lattice
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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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Application of log-Sobolov inequality to the stochastic dynamics of unbounded spin systems on the lattice
N. Yoshida · 2000
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