Entropy inequalities for unbounded spin systems
Dai Pra, Paolo ; Paganoni, Anna Maria ; Posta, Gustavo
Ann. Probab., Tome 30 (2002) no. 1, p. 1959-1976 / Harvested from Project Euclid
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We consider nonconservative, reversible spin systems, with unbounded discrete spins. We show that for a class of these dynamics in a high temperature regime, the relative entropy with respect to the equilibrium distribution decays exponentially in time, although the logarithmic-Sobolev inequality fails. To this end we prove a weaker modification of the logarithmic-Sobolev inequality.
Publié le : 2002-10-14
Classification:  Spin systems,  entropy,  logarithmic-Sobolev inequality,  spectral gap,  60K35,  82C22 
@article{1039548378,
     author = {Dai Pra, Paolo and Paganoni, Anna Maria and Posta, Gustavo},
     title = {Entropy inequalities for unbounded spin systems},
     journal = {Ann. Probab.},
     volume = {30},
     number = {1},
     year = {2002},
     pages = { 1959-1976},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1039548378}
}

Dai Pra, Paolo; Paganoni, Anna Maria; Posta, Gustavo. Entropy inequalities for unbounded spin systems. Ann. Probab., Tome 30 (2002) no. 1, pp.  1959-1976. http://gdmltest.u-ga.fr/item/1039548378/