Rigidity of Conformal Iterated Function Systems

  title={Rigidity of Conformal Iterated Function Systems},
  author={Daniel Mauldin and Feliks Przytycki},
The paper extends the rigidity of mixing expanding repellers theorem by D. Sullivan announced at 1986 IMC Su], see also the unpublished manuscript by the second author Pr]. We show that for a regular conformal, satisfying "Open Set Condition", iterated function system of countably many holomorphic contractions of an open connected subset of a complex plane, the Radon-Nikodym derivative dd=dm has a real-analytic extension on an open neighbourhood of the limit set of this system, where m is the… CONTINUE READING
8 Citations
4 References
Similar Papers


Publications referenced by this paper.
Showing 1-4 of 4 references

Urba  nski , Rigidity of tame rational functions

  • M.
  • Bull . Pol . Acad . Sci . , Math .
  • 1999

Quasiconformal homeomorphisms in dynamics , topology , and geometry

  • Su D. Sullivan
  • Proc . Internat . Congress of Math . , Berkeley…
  • 1986

Expanding endomorphisms of the circle revisited , ErgodicTheory and Dynam

  • D. Sullivan

Urba  nski , Dimensions and measures in in nite iterated functionsystems

  • R. D. Mauldin, M.
  • Proc . London Math . Soc .

Similar Papers

Loading similar papers…