24 citations · 230 across the 31 of their papers we have counts for
33 papers
Exponential inequalities in probability spaces revisited
Ali Barki, Sergey G. Bobkov, Esther Bou Dagher +1
We revisit several results on exponential integrability in probability spaces and derive some new ones. In particular, we give a quantitative form of recent results by Cianchi-Musi…
Transport-majorization to analytic and geometric inequalities
James Melbourne, Cyril Roberto
We introduce a transport-majorization argument that establishes a majorization in the convex order between two densities, based on control of the gradient of a transportation map b…
Quantitative form of Ball's Cube slicing in and equality cases in the min-entropy power inequality
James Melbourne, Cyril Roberto
We prove a quantitative form of the celebrated Ball's theorem on cube slicing in and obtain, as a consequence, equality cases in the min-entropy power inequality. In…
Bernoulli sums and Rényi entropy inequalities
Mokshay Madiman, James Melbourne, Cyril Roberto
We investigate the Rényi entropy of independent sums of integer valued random variables through Fourier theoretic means, and give sharp comparisons between the variance and the Rén…
Bakry-Emery Calculus For Diffusion With Additional Multiplicative Term
C. Roberto, B. Zegarlinski
We extend the Gamma_2 calculus of Bakry and Emery to include a Carre du champ operator with multiplicative term, providing results which allow to analyse inhomogeneous diffusions.
Hypercontractivity for Markov Semigroups
C. Roberto, B. Zegarlinski
We investigate in a systematic way hypercontractivity property in Orlicz spaces for Markov semi-groups related to homogeneous and non homogeneous diffusions in . We…