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math.PR2020
A note on the carré du champ on the Poisson space
Ronan Herry
The goal of this short note is to establish, in complete generality, the representation for the carré du champ operator associated with the Ornstein-Uhlenbeck semi-group on the Poi…
math.PR2020
Transport inequalities for random point measures
Nathael Gozlan, Ronan Herry, Giovanni Peccati
We derive transport-entropy inequalities for mixed binomial point processes, and for Poisson point processes. We show that when the finite intensity measure satisfies a Talagrand t…