# Invariant measures for iterated function systems

Annales Polonici Mathematici (2000)

- Volume: 75, Issue: 1, page 87-98
- ISSN: 0066-2216

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topSzarek, Tomasz. "Invariant measures for iterated function systems." Annales Polonici Mathematici 75.1 (2000): 87-98. <http://eudml.org/doc/208388>.

@article{Szarek2000,

abstract = {A new criterion for the existence of an invariant distribution for Markov operators is presented. Moreover, it is also shown that the unique invariant distribution of an iterated function system is singular with respect to the Hausdorff measure.},

author = {Szarek, Tomasz},

journal = {Annales Polonici Mathematici},

keywords = {Markov operator; invariant measure; iterated function system; invariant measures; general Markov operators; Polish spaces; iterated function systems; singular with respect to Hausdorff measure},

language = {eng},

number = {1},

pages = {87-98},

title = {Invariant measures for iterated function systems},

url = {http://eudml.org/doc/208388},

volume = {75},

year = {2000},

}

TY - JOUR

AU - Szarek, Tomasz

TI - Invariant measures for iterated function systems

JO - Annales Polonici Mathematici

PY - 2000

VL - 75

IS - 1

SP - 87

EP - 98

AB - A new criterion for the existence of an invariant distribution for Markov operators is presented. Moreover, it is also shown that the unique invariant distribution of an iterated function system is singular with respect to the Hausdorff measure.

LA - eng

KW - Markov operator; invariant measure; iterated function system; invariant measures; general Markov operators; Polish spaces; iterated function systems; singular with respect to Hausdorff measure

UR - http://eudml.org/doc/208388

ER -

## References

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