Tensor product of stable measures in Banach spaces of stable type
The Cauchy-Riemann operator in infinite dimensional spaces.
The chain rule for differentiable measures
The embeddability of an invertible measure.
The invariance principle for nonstationary sequences of associated random variables
The Laplace transform of measures on the cone of a vector lattice.
The Small Ball Theorem for Hilbert Spaces.
The symmetric property () for the Gaussian measure
We give a proof, based on the Poincaré inequality, of the symmetric property () for the Gaussian measure. If is continuous, bounded from below and even, we define and we haveThis property is equivalent to a certain functional form of the Blaschke-Santaló inequality, as explained in a paper by Artstein, Klartag and Milman.
Transformation d'une promesure de probabilité en une vraie mesure
Transportation Cost for Gaussian and Other Product Measures.
Type, cotype et mesures de Levy sur les espaces de Banach