Spectral gap and logarithmic Sobolev inequality for unbounded conservative spin systems

We consider reversible, conservative Ginzburg–Landau processes, whose potential are bounded perturbations of the Gaussian potential, evolving on a d-dimensional cube of length L. Following the martingale approach introduced in (S.L. Lu, H.T. Yau, Spectral gap and logarithmic Sobolev inequality for K...

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Veröffentlicht in:	Annales de l'I.H.P. Probabilités et statistiques 2002, Vol.38 (5), p.739-777
Hauptverfasser:	Landim, C., Panizo, G., Yau, H.T.
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Interacting particle systems Limit theorems Logarithmic Sobolev inequality Mathematics Probability and statistics Probability theory and stochastic processes Sciences and techniques of general use Special processes (renewal theory, markov renewal processes, semi-markov processes, statistical mechanics type models, applications) Spectral gap
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