Répartition d'état d'un opérateur de Schrödinger aléatoire Distribution empirique des valeurs propres d'une matrice de Jacobi
Repeat distributions from unequal crossovers
It is a well-known fact that genetic sequences may contain sections with repeated units, called repeats, that differ in length over a population, with a length distribution of geometric type. A simple class of recombination models with single crossovers is analysed that result in equilibrium distributions of this type. Due to the nonlinear and infinite-dimensional nature of these models, their analysis requires some nontrivial tools from measure theory and functional analysis, which makes them interesting...
Représentation de quasi-ordres et de relations probabilistes transitives sous forme standard et méthodes d'approximation
Représentation des endomorphismes de l'espace de Wiener qui préservent les martingales
Representation of Itô integrals by Lebesgue/Bochner integrals
In [Yong 2004], it was proved that as long as the integrand has certain properties, the corresponding Itô integral can be written as a (parameterized) Lebesgue integral (or a Bochner integral). In this paper, we show that such a question can be answered in a more positive and refined way. To do this, we need to characterize the dual of the Banach space of some vector-valued stochastic processes having different integrability with respect to the time variable and the probability measure. The later...
Representation of random linear functionals on certain spaces
Representations of flows and generalized Rudolph's theorem [Abstract of thesis]
Retractions and Open Mappings between Convex Sets.