Abstract for the talk on 07.12.2016 (16:00 h)

Dynamical Systems Seminar

Björn Schmalfuß (Friedrich-Schiller-Universität Jena, Germany)
Random dynamical systems and spde's driven by a fractional Brownian motion.

We introduce the term random dynamical system and discuss several objects of these systems like random attractors, random invariant manifolds, etc.

We will also discuss how these random dynamical systems are generated by stochastic evolution equations. Especially we will consider a version of these equations driven by a fractional Brownian motion. To show existence and uniqueness of these stochastic evolution equations we will use techniques which are based on fractional derivatives.