Invariant measures for nonexpansive Markov operators on Polish spaces

Tomasz Szarek

  • 2003

Abstract

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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.

How to cite

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Tomasz Szarek. Invariant measures for nonexpansive Markov operators on Polish spaces. 2003. <http://eudml.org/doc/286053>.

@book{TomaszSzarek2003,
abstract = {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.},
author = {Tomasz Szarek},
keywords = {Markov operators; iterated function systems; stochastically perturbed dynamical systems; Poisson driven differential equations; capacity},
language = {eng},
title = {Invariant measures for nonexpansive Markov operators on Polish spaces},
url = {http://eudml.org/doc/286053},
year = {2003},
}

TY - BOOK
AU - Tomasz Szarek
TI - Invariant measures for nonexpansive Markov operators on Polish spaces
PY - 2003
AB - 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.
LA - eng
KW - Markov operators; iterated function systems; stochastically perturbed dynamical systems; Poisson driven differential equations; capacity
UR - http://eudml.org/doc/286053
ER -

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