Unicritical Blaschke products and domains of ellipticity

DOI10.1007/s12346-015-0133-4zbMath1321.30017arXiv1408.2418OpenAlexW2048090588MaRDI QIDQ2342874

Alastair Fletcher

Publication date: 29 April 2015

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.2418

zbMATH Keywords

Julia setBlaschke productMandelbrot set

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Blaschke products (30J10)

Related Items (5)

Fatou's associates ⋮ Spectra of composition operators on the Dirichlet space induced by full-maps of the disk ⋮ Decomposable Blaschke products of degree 2ⁿ ⋮ Möbius transformations and Blaschke products: the geometric connection ⋮ Fixed curves near fixed points

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Commuting finite Blaschke products with no fixed points in the unit disk
• Complex dynamics
• Absolutely continuous conjugacies of Blaschke products
• Rational Parameter Rays of the Multibrot Sets
• Expanding endomorphisms of the circle revisited
• On Critical Points of Proper Holomorphic Maps on The Unit Disk
• Semicrossed Products of the Disk Algebra and the Jacobson Radical
• Dynamics in One Complex Variable. (AM-160)
• Fixed curves near fixed points

This page was built for publication: Unicritical Blaschke products and domains of ellipticity