18 citations · 30 across the 3 of their papers we have counts for
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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.PR2006★ 18 cited
Ecological equilibrium for restrained branching random walks
Daniela Bertacchi, Gustavo Posta, Fabio Zucca
We study a generalized branching random walk where particles breed at a rate which depends on the number of neighboring particles. Under general assumptions on the breeding rates w…
math.PR2004★ 11 cited
Logarithmic Sobolev inequality for zero-range Dynamics
Paolo Dai Pra, Gustavo Posta
We prove that the logarithmic Sobolev constant for zero-range processes in a box of diameter grows as .