Uniformly perfect sets, rational semigroups, Kleinian groups and IFS’s

DOI10.1090/S0002-9939-00-05313-2zbMath0947.30020arXivmath/9810089OpenAlexW1922251757MaRDI QIDQ4490215

Rich Stankewitz

Publication date: 10 July 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9810089

zbMATH Keywords

Julia setKleinian groupsrational semigroupsuniformly perfect sets

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamical systems over complex numbers (37F99)

Related Items

Iterated function systems, capacity and Green's functions, Interaction cohomology of forward or backward self-similar systems, Uniform perfectness of the attractor of bi-Lipschitz IFS, Random dynamics of polynomials and Devil's-staircase-like functions in the complex plane, Cooperation principle, stability and bifurcation in random complex dynamics, Uniform perfectness of the limit sets of Kleinian groups, Quasiregular semigroups with examples, Real analyticity of Hausdorff dimension for expanding rational semigroups, Complex dynamics of Möbius semigroups, Hereditarily non uniformly perfect non-autonomous Julia sets, Dynamics of postcritically bounded polynomial semigroups III: classification of semi-hyperbolic semigroups and random Julia sets which are Jordan curves but not quasicircles, Dynamics of polynomial semigroups: measures, potentials, and external fields, Uniformly perfect and hereditarily non uniformly perfect analytic and conformal non-autonomous attractor sets

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