Merging for inhomogeneous finite Markov chains, part II: Nash and log-Sobolev inequalities

Details Merging for inhomogeneous finite Markov chains, part II: Nash and log-Sobolev inequalities Merging for inhomogeneous finite Markov chains, part II: Nash and log-Sobolev inequalities

2011-04-08

arxiv.org/abs/1104.1560v1

Annals of Probability 2011, Vol. 39, No. 3, 1161-1203

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/10-AOP572 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of

Scientific paper

10.1214/10-AOP572

We study time-inhomogeneous Markov chains with finite state spaces using Nash
and logarithmic-Sobolev inequalities, and the notion of $c$-stability. We
develop the basic theory of such functional inequalities in the
time-inhomogeneous context and provide illustrating examples.

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