External rays to periodic points

DOI10.1007/BF02762696zbMath0854.30020MaRDI QIDQ1916885

Feliks Przytycki, Genadi Levin

Publication date: 13 January 1997

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Julia setperiodic pointsaccesiblee points

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Low-dimensional dynamical systems (37E99)

Related Items (19)

About Rays, Dreadlocks and Periodic Points in Transcendental Dynamics ⋮ Cutpoints of invariant subcontinua of polynomial Julia sets ⋮ Asymptotically holomorphic methods for infinitely renormalizable unimodal maps ⋮ A bound on the number of rationally invisible repelling orbits ⋮ Irreducibility of periodic curves in cubic polynomial moduli space ⋮ Hyperbolic components of polynomials with a fixed critical point of maximal order ⋮ On non-uniform hyperbolicity assumptions in one-dimensional dynamics ⋮ On the correspondence of external angles under renormalization ⋮ On the core entropy of Newton maps ⋮ An extended Fatou-Shishikura inequality and wandering branch continua for polynomials ⋮ A landing theorem for entire functions with bounded post-singular sets ⋮ Unnamed Item ⋮ Disconnected Julia set and rotation sets ⋮ Finitely Suslinian models for planar compacta with applications to Julia sets ⋮ Rigidity and non-local connectivity of Julia sets of some quadratic polynomials ⋮ Fixed Point Theorems for Plane Continua with Applications ⋮ Real laminations and the topological dynamics of complex polynomials ⋮ Rays to renormalizations ⋮ Periodic points and smooth rays

Cites Work

• On the multiplier of a repelling fixed point
• Riemann map and holomorphic dynamics
• Confromal invariants and function-theoretic null-sets
• On the dynamics of polynomial-like mappings
• Periodic points of polynomials
• Fixed points of polynomial maps. Part II. Fixed point portraits
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