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math.PR2018★ 12 cited
On Poincare and logarithmic Sobolev inequalities for a class of singular Gibbs measures
Djalil Chafai, Joseph Lehec
This note, mostly expository, is devoted to Poincar{é} and log-Sobolev inequalities for a class of Boltzmann-Gibbs measures with singular interaction. Such measures allow to model…
math.PR2018
Poisson processes and a log-concave Bernstein theorem
Bo'az Klartag, Joseph Lehec
We discuss interplays between log-concave functions and log-concave sequences. We prove a Bernstein-type theorem, which characterizes the Laplace transform of log-concave measures…