Hypercontractivité et isopérimétrie gaussienne. Applications aux systèmes de spins
Hypercontractivity and comparison of moments of iterated maxima and minima of independent random variables.
Hypercontractivity for perturbed diffusion semigroups
Hypercontractivity of simple random variables
The optimal hypercontractivity constant for a natural operator semigroup acting on a discrete finite probability space is established up to a universal factor. The two-point spaces are proved to be the extremal case. The constants obtained are also optimal in the related moment inequalities for sums of independent random variables.
Hypercontractivity of solutions to Hamilton-Jacobi equations
We show that solutions to some Hamilton-Jacobi Equations associated to the problem of optimal control of stochastic semilinear equations enjoy the hypercontractivity property.
Hyperdefinite stochastic integration I: The nonstandard theory.
Hyperdefinite stochastic integration II: Comparision with the standard theory.
Hyperdefinite stochastic integration III: Hyperdefinite representations of standard martingales.
Hyper-dependence, hyper-ageing properties and analogies between them: a semigroup-based approach
In previous papers, evolution of dependence and ageing, for vectors of non-negative random variables, have been separately considered. Some analogies between the two evolutions emerge however in those studies. In the present paper, we propose a unified approach, based on semigroup arguments, explaining the origin of such analogies and relations among properties of stochastic dependence and ageing.
Hypoellipticité et hypoellipticité partielle pour les diffusions avec une condition frontière
Hypothesis (B) of Hunt