56 citations · 159 across the 18 of their papers we have counts for
5 papers · 1 filter
The symmetric property tau for the Gaussian measure
Joseph Lehec
We give a proof based on the Poincaré inequality of the symmetric property tau for the Gaussian measure. This property turns out to be equivalent to a certain functional form of th…
A direct proof of the functional Santalo inequality
Joseph Lehec
We give a simple proof of a functional version of the Blaschke-Santalo inequality due to Artstein, Klartag and Milman. The proof is by induction on the dimension and does not use t…
On the Yao-Yao partition theorem
Joseph Lehec
The Yao-Yao partition theorem states that given a probability measure on an affine space of dimension n having a density which is continuous and bounded away from 0, it is possible…
Partitions and functional Santalo inequalities
Joseph Lehec
We give a direct proof of a functional Santalo inequality due to Fradelizi and Meyer. This provides a new proof of the Blaschke-Santalo inequality. The argument combines a logarith…
Representation formula for the entropy and functional inequalities
Joseph Lehec
We prove a stochastic formula for the Gaussian relative entropy in the spirit of Borell's formula for the Laplace transform. As an application, we give unified and short proofs of…