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Invariant measures for nonexpansive Markov operators on Polish spaces

Tom 415 / 2003

Tomasz Szarek Dissertationes Mathematicae 415 (2003), 1-62 MSC: Primary 47A35, 60J05, 37A30; Secondary 28D15, 60J75, 37A50 DOI: 10.4064/dm415-0-1

Streszczenie

New sufficient conditions for the existence of an invariant measure for nonexpansive Markov operators defined on Polish spaces are presented. These criteria are applied to iterated function systems, stochastically perturbed dynamical systems and Poisson stochastic differential equations. We also estimate the Ledrappier version of capacity for invariant measures.

Autorzy

  • Tomasz SzarekInstitute of Mathematics
    Silesian University
    Bankowa 14
    40-007 Katowice, Poland
    e-mail

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