Almost periodicity and periodicity for nonautonomous random dynamical systems
Paul Raynaud de Fitte
Abstract
We present a notion of almost periodicity which can be applied to random dynamical systems as well as almost periodic stochastic differential equations in Hilbert spaces (abstract stochastic partial differential equations). This concept allows for improvements of known results of almost periodicity in distribution, for general random processes and for solutions to stochastic differential equations.
Topics & Concepts
MathematicsStochastic partial differential equationDynamical systems theoryStochastic differential equationMathematical analysisRandom dynamical systemHilbert spaceDifferential equationApplied mathematicsLinear dynamical systemLinear systemQuantum mechanicsPhysicsStability and Controllability of Differential EquationsNonlinear Differential Equations AnalysisAdvanced Mathematical Modeling in Engineering