24 citations · 230 across the 31 of their papers we have counts for
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Modified logarithmic Sobolev inequalities on R
Franck Barthe, Cyril Roberto
We provide a sufficient condition for a measure on the real line to satisfy a modified logarithmic Sobolev inequality, thus extending the criterion of Bobkov and Götze. Under mild…
Orlicz-Sobolev inequalities for sub-Gaussian measures and ergodicity of Markov semi-groups
Cyril Roberto, Boguslaw Zegarlinski
We study coercive inequalities in Orlicz spaces associated to the probability measures on finite and infinite dimensional spaces which tails decay slower than the Gaussian ones. We…
Kinetically constrained spin models
Nicoletta Cancrini, Fabio Martinelli, Cyril Roberto +1
We analyze the density and size dependence of the relaxation time for kinetically constrained spin models (KCSM) intensively studied in the physical literature as simple models sha…
Relaxation times of kinetically constrained spin models with glassy dynamics
Nicoletta Cancrini, Fabio Martinelli, Cyril Roberto +1
We analyze the density and size dependence of the relaxation time for kinetically constrained spin systems. These have been proposed as models for strong or fragile glasses and…
Isoperimetry between exponential and Gaussian
Franck Barthe, Patrick Cattiaux, Cyril Roberto
We study in details the isoperimetric profile of product probability measures with tails between the exponential and the Gaussian regime. In particular we exhibit many examples whe…