Probability measure functors preserving infinite-dimensional spaces
Probability measures on compact semitopological semigroups
Probability measures with big kernels.
Probability structure preserving and absolute continuity
Processus canoniquement mesurables (ou : Doob avait raison)
Product of exponentials and spectral radius of random k-circulants
We consider n × n random k-circulant matrices with n → ∞ and k = k(n) whose input sequence {al}l≥0 is independent and identically distributed (i.i.d.) random variables with finite (2 + δ) moment. We study the asymptotic distribution of the spectral radius, when n = kg + 1. For this, we first derive the tail behaviour of the g fold product of i.i.d. exponential random variables. Then using this tail behaviour result and appropriate normal approximation techniques, we show that with appropriate scaling...
Products of Random Variables Depending on a Random Walk.
Produits scalaires sur l'espace des mesures
Produits semi-directs et application aux nilvariétés et aux tores en théorie ergodique
Produits tensoriels et , applications -sommantes, applications -radonifiantes
Projections de mouvements browniens régularisés via l'action d'un groupe de Lie hilbertien
Projections of onto subspaces spanned by independent random variables
Proof(s) of the Lamperti representation of continuous-state branching processes.
Propagation of chaos for Burgers' equation
Properties of centered random walks on locally compact groups and Lie groups.
Propriété des lois pour les solutions d'une famille d'équations stochastiques
Propriétés d'absolue continuité dans les espaces de Dirichlet et applications aux équations différentielles stochastiques
Quantum Bochner theorems and incompatible observables
A quantum version of Bochner's theorem characterising Fourier transforms of probability measures on locally compact Abelian groups gives a characterisation of the Fourier transforms of Wigner quasi-joint distributions of position and momentum. An analogous quantum Bochner theorem characterises quasi-joint distributions of components of spin. In both cases quantum states in which a true distribution exists are characterised by the intersection of two convex sets. This may be described explicitly...
Quantum Independent Increment Processes on Superalgebras.
Quantum stochastic convolution cocycles I