Invariant factors, Julia equivalences and the (abstract) Mandelbrot set

DOI10.1007/BFB0103999zbMath0970.37032MaRDI QIDQ1567709

Karsten Keller

Publication date: 26 June 2000

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Julia setMandelbrot setThurston lamination

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Symbolic dynamics (37B10) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Combinatorics and topology in relation with holomorphic dynamical systems (37F20) Dynamical systems over complex numbers (37Fxx)

Related Items (15)

On polynomial digraphs ⋮ Invariant Peano curves of expanding Thurston maps ⋮ Julia sets and periodic kneading sequences ⋮ Space-filling curves and geodesic laminations. II: Symmetries ⋮ Dynamical generation of parameter laminations ⋮ Shrubs in the Mandelbrot Set Ordering ⋮ Topological entropy of quadratic polynomials and dimension of sections of the Mandelbrot set ⋮ Bernoulli measure of complex admissible kneading sequences ⋮ Wandering orbit portraits ⋮ BALANCED WORDS AND MAJORIZATION ⋮ Quasisymmetric conjugacy between quadratic dynamics and iterated function systems ⋮ Ribbon ℝ-trees and holomorphic dynamics on the unit disk ⋮ Real laminations and the topological dynamics of complex polynomials ⋮ Optimization and majorization of invariant measures ⋮ Shadowing and -limit sets of circular Julia sets

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