Exponential decay of entropy in the random transposition and Bernoulli-Laplace models
Gao, Fuqing ; Quastel, Jeremy
Ann. Appl. Probab., Tome 13 (2003) no. 1, p. 1591-1600 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We give bounds on the exponential decay rate of entropy in the random transposition model and the Bernoulli--Laplace model which are independent of the number of sites and the number of particles. This is then used to give a bound on the time to stationarity in the total variation norm.
Publié le : 2003-11-14
Classification:  Modified logarithmic Sobolev inequality,  time to stationarity,  60B15,  60K35,  60J22 
@article{1069786512,
     author = {Gao, Fuqing and Quastel, Jeremy},
     title = {Exponential decay of entropy in the random transposition and Bernoulli-Laplace models},
     journal = {Ann. Appl. Probab.},
     volume = {13},
     number = {1},
     year = {2003},
     pages = { 1591-1600},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1069786512}
}

Gao, Fuqing; Quastel, Jeremy. Exponential decay of entropy in the random transposition and Bernoulli-Laplace models. Ann. Appl. Probab., Tome 13 (2003) no. 1, pp.  1591-1600. http://gdmltest.u-ga.fr/item/1069786512/