Return times of polynomials as meta-Fibonacci numbers

DOI10.1090/S1088-4173-08-00183-5zbMath1200.37041arXivmath/0411180OpenAlexW1970882770MaRDI QIDQ3559521

Nathaniel D. Emerson

Publication date: 6 May 2010

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411180

zbMATH Keywords

puzzleJulia setpolynomialreturn timetree with dynamicsprincipal nestmeta-Fibonacci

Mathematics Subject Classification ID

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) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• Complex dynamics
• The iteration of cubic polynomials. II: Patterns and parapatterns
• Dynamics of quadratic polynomials. I, II
• Dynamics of polynomials with disconnected Julia sets
• Generalized Fibonacci Numbers and Associated Matrices
• On the dynamics of polynomial-like mappings
• The Fibonacci Unimodal Map
• On the Behavior of a Family of Meta-Fibonacci Sequences
• Trees and the dynamics of polynomials
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