Parabolic Iterated Function Systems

Abstract

In this paper we introduce and explore conformal parabolic iterated function systems. We deene and study topological pressure, Perron-Frobenius type operators, semi-conformal and conformal measures and the Hausdorr dimension of the limit set. With every parabolic system we associate an innnite hyperbolic conformal iterated function system and we employ it… (More)

Topics

Cite this paper

@inproceedings{Mauldin1998ParabolicIF, title={Parabolic Iterated Function Systems}, author={R. Daniel Mauldin and M Urba}, year={1998} }