31 citations · 31 across the 4 of their papers we have counts for
5 papers
Almost periodicity and periodicity for nonautonomous random dynamical systems
Paul Raynaud de Fitte
We present a notion of almost periodicity wich can be applied to random dynamical systems as well as almost periodic stochastic differential equations in Hilbert spaces (abstract s…
Dynamics of a prey-predator system with modified Leslie-Gower and Holling type II schemes incorporating a prey refuge
Safia Slimani, Paul Raynaud de Fitte, Islam Boussaada
We study a modified version of a prey-predator system with modified Leslie-Gower and Holling type II functional response studied by M.A. Aziz-Alaoui and M. Daher-Okiye. The modific…
Counterexamples to mean square almost periodicity of the solutions of some SDEs with almost periodic coefficients
Omar Mellah, Paul Raynaud De Fitte
We show that, contrarily to what is claimed in some papers, the nontrivial solutions of some stochastic differential equations with almost periodic coefficients are never mean squa…
Parametrized Kantorovich-Rubinstein theorem and application to the coupling of random variables
Jerome Dedecker, Clementine Prieur, Paul Raynaud De Fitte
We prove a version for random measures of the celebrated Kantorovich-Rubinstein duality theorem and we give an application to the coupling of random variables which extends and uni…
Existence of weak solutions to stochastic evolution inclusions
Adam Jakubowski, Mikhail Kamenskii, Paul Raynaud De Fitte
We consider the Cauchy problem for a semilinear stochastic differential inclusion in a Hilbert space. The linear operator generates a strongly continuous semigroup and the nonlinea…