PT Unknown
AU Crauel, H
TI Measure Attractors and Markov Attractors
SE Preprint / Technische Universität Ilmenau, Institut für Mathematik
PD 07
PY 2006
VL 06-08
LA en
DE random dynamical system; random attractor; omega limit set; measure attractor; point attractor; set attractor; white noise system; Markov attractor
AB The actions induced by a random dynamical system on spaces of probability measures on the state space are investigated, and generalisations of the notion of an attractor are discussed and compared. For the particular case of a random dynamical system generated by a stochastic differential equation the notion of an attractor for the associated Markov semigroup had previously been discussed in several instances in the literature. It is re-discovered here as a special case of a more general notion of an attractor in the space of measures.
PI Ilmenau
ER