Parabolic Iterated Function

نویسنده

  • R. D. Mauldin
چکیده

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 to study geometric and dynamical features (properly deened invariant measures for example) of the limit set.

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تاریخ انتشار 1998