Conformally maximal polynomial-like dynamics and invariant harmonic measure

DOI10.1017/S014338579706104XzbMath0876.58036OpenAlexW2135100014MaRDI QIDQ3129832

Irina Popovici, Zoltan Balgoh, Alexander Volberg

Publication date: 25 November 1997

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s014338579706104x

zbMATH Keywords

JacobianJulia setHölder continuousrational dynamicsconformal maximalitygeneralized polynomial-like systems

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Dynamical systems over complex numbers (37F99) Dynamical systems with hyperbolic behavior (37D99)

Related Items (3)

On purely periodic beta-expansions of Pisot numbers ⋮ Dimension of the harmonic measure of non-homogeneous Cantor sets ⋮ Matrix random products with singular harmonic measure

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