Exponential decay of entropy in the random transposition and Bernoulli-Laplace models

Authors
Gao, Fuqing Quastel, Jeremy
Citation
Gao, Fuqing et Quastel, Jeremy, Exponential decay of entropy in the random transposition and Bernoulli-Laplace models, Annals of applied probability , 13(4), 2003, pp. 1591-1600
Journal title
Annals of applied probability → ACNP
ISSN journal
10505164
Volume
13
Issue
4
Year of publication
2003
Pages
1591 - 1600
Database
ACNP
SICI code
Abstract
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.