On the complement of the Mandelbrot set

DOI10.1007/BF02937511zbMath0817.30012OpenAlexW1983164255MaRDI QIDQ1343849

Genadi Levin

Publication date: 18 July 1995

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

Full work available at URL: https://doi.org/10.1007/bf02937511

zbMATH Keywords

cycleJulia setrotation numbermultiplierMandelbrot set

Mathematics Subject Classification ID

Topological dynamics (37B99) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05)

Related Items (2)

An extended Fatou-Shishikura inequality and wandering branch continua for polynomials ⋮ Disconnected Julia set and rotation sets

Cites Work

• Symbolic dynamics and rotation numbers
• The limit-periodic finite-difference operator on \(l^ 2(\mathbf Z)\) associated with iterations of quadratic polynomials.
• On Pommerenke's inequality for the eigenvalues of fixed points
• Periodic points of polynomials
• Ordered orbits of the shift, square roots, and the devil's staircase
• Disconnected Julia set and rotation sets
• Fixed points of polynomial maps. Part II. Fixed point portraits
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the complement of the Mandelbrot set