Logarithmic Sobolev inequality for some models of random walks
Lee, Tzong-Yow ; Yau, Horng-Tzer
Ann. Probab., Tome 26 (1998) no. 1, p. 1855-1873 / Harvested from Project Euclid
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We determine the logarithmic Sobolev constant for the Bernoulli- Laplace model and the time to stationarity for the symmetric simple exclusion model up to the leading order. Our method for proving the logarithmic Sobolev inequality is based on a martingale approach and is applied to the random transposition model as well. The proof for the time to stationarity is based on a general observation relating the time to stationarity to the hydrodynamical limit.
Publié le : 1998-10-14
Classification:  none,  none 
@article{1022855885,
     author = {Lee, Tzong-Yow and Yau, Horng-Tzer},
     title = {Logarithmic Sobolev inequality for some models of random
		 walks},
     journal = {Ann. Probab.},
     volume = {26},
     number = {1},
     year = {1998},
     pages = { 1855-1873},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1022855885}
}

Lee, Tzong-Yow; Yau, Horng-Tzer. Logarithmic Sobolev inequality for some models of random
		 walks. Ann. Probab., Tome 26 (1998) no. 1, pp.  1855-1873. http://gdmltest.u-ga.fr/item/1022855885/