GEOMETRIC LIMITS OF MANDELBROT AND JULIA SETS UNDER DEGREE GROWTH

DOI10.1142/S0218127412503014zbMath1258.37060arXiv1109.2166OpenAlexW2963232814WikidataQ121166309 ScholiaQ121166309MaRDI QIDQ4908411

Michael J. Schulz, Suzanne Hruska Boyd

Publication date: 5 March 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.2166

zbMATH Keywords

holomorphic dynamics

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) Geometric limits in holomorphic dynamics (37F40)

Related Items (9)

Numeric characteristics of generalized M-set with its asymptote ⋮ Geometric limits of Julia sets for sums of power maps and polynomials ⋮ Geometric limits of mixed families ⋮ On dynamics of asymptotically minimal polynomials ⋮ On the dynamics of n-circle inversion ⋮ On numerical approximations of the area of the generalized Mandelbrot sets ⋮ Conformal equivalence of measures and dynamics of orthogonal polynomials ⋮ Geometric limits of Julia  sets and connectedness locus of the family of polynomials P_c(z) = zⁿ + cz^k ⋮ Geometric limit of Julia set of a family of rational functions with odd degree

Cites Work

• Symmetries of fractals revisited
• The McMullen domain: Rings around the boundary
• Dynamical convergence of polynomials to the exponential
• A GENERALIZED VERSION OF THE MCMULLEN DOMAIN

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