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A new sufficient condition for the existence of an invariant measure for Markov operators defined on Polish spaces is presented. This criterion is applied to iterated function systems.
Tomasz Szarek. "Invariant measures for Markov operators with application to function systems." Studia Mathematica 154.3 (2003): 207-222. <http://eudml.org/doc/285297>.
@article{TomaszSzarek2003, abstract = {A new sufficient condition for the existence of an invariant measure for Markov operators defined on Polish spaces is presented. This criterion is applied to iterated function systems.}, author = {Tomasz Szarek}, journal = {Studia Mathematica}, keywords = {Markov operator; iterative function system; invariant measure; nonexpansive semi-concentrating measure}, language = {eng}, number = {3}, pages = {207-222}, title = {Invariant measures for Markov operators with application to function systems}, url = {http://eudml.org/doc/285297}, volume = {154}, year = {2003}, }
TY - JOUR AU - Tomasz Szarek TI - Invariant measures for Markov operators with application to function systems JO - Studia Mathematica PY - 2003 VL - 154 IS - 3 SP - 207 EP - 222 AB - A new sufficient condition for the existence of an invariant measure for Markov operators defined on Polish spaces is presented. This criterion is applied to iterated function systems. LA - eng KW - Markov operator; iterative function system; invariant measure; nonexpansive semi-concentrating measure UR - http://eudml.org/doc/285297 ER -