TY - JOUR
AU - Crauel, Hans
PY - 2006
DA - 2006/07/07
TI - Measure Attractors and Markov Attractors
JO - Preprint / Technische Universität Ilmenau, Institut für Mathematik
VL - 06-08
CY - Ilmenau
KW - random dynamical system
KW - random attractor
KW - omega limit set
KW - measure attractor
KW - point attractor
KW - set attractor
KW - white noise system
KW - 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.
L1 - https://www.db-thueringen.de/servlets/MCRFileNodeServlet/dbt_derivate_00009261/IfM_Preprint_M_06_08.pdf
UR - https://www.db-thueringen.de/receive/dbt_mods_00006254
UR - http://uri.gbv.de/document/gvk:ppn:514393289
UR - http://uri.gbv.de/document/gvk:ppn:515104256
LA - en
ID - dbt_mods_00006254
ER -