Absolutely Continuous Invariant Measures for Expansive Rational Maps with Rationally Indifferent Periodic Points.

Manfred Denker; Mariusz Urbanski

Forum mathematicum (1991)

  • Volume: 3, Issue: 6, page 561-580
  • ISSN: 0933-7741; 1435-5337/e

How to cite

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Denker, Manfred, and Urbanski, Mariusz. "Absolutely Continuous Invariant Measures for Expansive Rational Maps with Rationally Indifferent Periodic Points.." Forum mathematicum 3.6 (1991): 561-580. <http://eudml.org/doc/186407>.

@article{Denker1991,
author = {Denker, Manfred, Urbanski, Mariusz},
journal = {Forum mathematicum},
keywords = {expansive rational map; parabolic maps; Julia set; Hausdorff dimension; -conformal measure; Koebe's distortion theorem; Markov partitions; jump transformation},
number = {6},
pages = {561-580},
title = {Absolutely Continuous Invariant Measures for Expansive Rational Maps with Rationally Indifferent Periodic Points.},
url = {http://eudml.org/doc/186407},
volume = {3},
year = {1991},
}

TY - JOUR
AU - Denker, Manfred
AU - Urbanski, Mariusz
TI - Absolutely Continuous Invariant Measures for Expansive Rational Maps with Rationally Indifferent Periodic Points.
JO - Forum mathematicum
PY - 1991
VL - 3
IS - 6
SP - 561
EP - 580
KW - expansive rational map; parabolic maps; Julia set; Hausdorff dimension; -conformal measure; Koebe's distortion theorem; Markov partitions; jump transformation
UR - http://eudml.org/doc/186407
ER -

Citations in EuDML Documents

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  1. Manfred Denker, Michiko Yuri, A note on the construction of nonsingular Gibbs measures
  2. Olivier Bodart, Michel Zinsmeister, Quelques résultats sur la dimension de Hausdorff des ensembles de Julia des polynômes quadratiques
  3. Manfred Denker, R. Mauldin, Z. Nitecki, Mariusz Urbański, Conformal measures for rational functions revisited
  4. Guillaume Havard, Mesures invariantes pour les fractions rationnelles géométriquement finies
  5. Mariusz Urbański, Parabolic Cantor sets
  6. Hisao Kato, Striped structures of stable and unstable sets of expansive homeomorphisms and a theorem of K. Kuratowski on independent sets

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