International audienceMotivated by Talagrand's conjecture on regularization properties of the natural semigroup on the Boolean hypercube, and in particular its continuous analogue involving regularization properties of the Ornstein-Uhlenbeck semigroup acting on in-tegrable functions, we explore deviation inequalities for log-semiconvex functions under Gaussian measure
AbstractFirst we compute Brownian motion expectations of some Kac's functionals. This allows a compl...
We show that given a symmetric convex set K ⊂ Rd, the function t − → γ(etK) is log-concave on R, whe...
Lower and upper bounds for the variance (that is the mean deviation in $L_2$) of functions of a rand...
International audienceMotivated by Talagrand's conjecture on regularization properties of the natura...
International audienceIn 1989, Talagrand proposed a conjecture regarding the regularization effect o...
In 1989, Talagrand proposed a conjecture regarding the regularization effect on integrable functions...
In 1989, Talagrand proposed a conjecture regarding the regularization effect on integrable functions...
Abstract We present a new and simple approach to some of the deviation inequalities for product mea...
International audienceLet γn be the standard Gaussian measure on R n and let (Qt) be the Ornstein–Ul...
We present a new and simple approach to some of the deviation inequalities for product measures dee...
In this paper, we are interested in Gaussian versions of the clas-sical Brunn-Minkowski inequality. ...
Sambale H, Sinulis A. Modified log-Sobolev inequalities and two-level concentration. ALEA: Latin Ame...
This note presents families of inequalities for the Gaussian measure of convex sets which extend the...
to appear in Studia MathematicaInternational audienceIn this paper, we are interested in Gaussian ve...
Abstract In this paper we investigate the upper bound and the lower bound of the Choquet integral fo...
AbstractFirst we compute Brownian motion expectations of some Kac's functionals. This allows a compl...
We show that given a symmetric convex set K ⊂ Rd, the function t − → γ(etK) is log-concave on R, whe...
Lower and upper bounds for the variance (that is the mean deviation in $L_2$) of functions of a rand...
International audienceMotivated by Talagrand's conjecture on regularization properties of the natura...
International audienceIn 1989, Talagrand proposed a conjecture regarding the regularization effect o...
In 1989, Talagrand proposed a conjecture regarding the regularization effect on integrable functions...
In 1989, Talagrand proposed a conjecture regarding the regularization effect on integrable functions...
Abstract We present a new and simple approach to some of the deviation inequalities for product mea...
International audienceLet γn be the standard Gaussian measure on R n and let (Qt) be the Ornstein–Ul...
We present a new and simple approach to some of the deviation inequalities for product measures dee...
In this paper, we are interested in Gaussian versions of the clas-sical Brunn-Minkowski inequality. ...
Sambale H, Sinulis A. Modified log-Sobolev inequalities and two-level concentration. ALEA: Latin Ame...
This note presents families of inequalities for the Gaussian measure of convex sets which extend the...
to appear in Studia MathematicaInternational audienceIn this paper, we are interested in Gaussian ve...
Abstract In this paper we investigate the upper bound and the lower bound of the Choquet integral fo...
AbstractFirst we compute Brownian motion expectations of some Kac's functionals. This allows a compl...
We show that given a symmetric convex set K ⊂ Rd, the function t − → γ(etK) is log-concave on R, whe...
Lower and upper bounds for the variance (that is the mean deviation in $L_2$) of functions of a rand...