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math.PR2007★ 1 cited
Convex Entropy Decay via the Bochner-Bakry-Emery approach
Pietro Caputo, Paolo Dai Pra, Gustavo Posta
We develop a method, based on a Bochner-type identity, to obtain estimates on the exponential rate of decay of the relative entropy from equilibrium of Markov processes in discrete…
math.PR2004★ 6 cited
Relaxation time of -reversal chains and other chromosome shuffles
N. Cancrini, P. Caputo, F. Martinelli
We prove tight bounds on the relaxation time of the so-called -reversal chain, which was introduced by R. Durrett as a stochastic model for the evolution of chromosome chains. T…