Quasiregular semigroups with examples

DOI10.3934/dcds.2019090zbMath1429.30026arXiv1801.02545OpenAlexW2964204573WikidataQ128550247 ScholiaQ128550247MaRDI QIDQ1737077

Alastair Fletcher

Publication date: 26 March 2019

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.02545

zbMATH Keywords

Julia setquasiregular mappingsuniformly perfectquasiregular semigroups

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) 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)

Related Items (2)

Normal families and quasiregular mappings ⋮ Attractor sets and Julia sets in low dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Iteration of quasiregular mappings
• Quasiconformal and affine groups
• Conformal geometry and quasiregular mappings
• Quasiregular analogues of critically finite rational functions with parabolic orbifold
• On dynamics of hyperbolic rational semigroups
• Julia sets and wild Cantor sets
• On quasiregular linearizers
• Quasiregular dynamics on the n-sphere
• Julia sets of uniformly quasiregular mappings are uniformly perfect
• Stoïlow factorization for quasiregular mappings in all dimensions
• Lipschitz and quasiconformal approximation and extension
• Normal Families of Quasimeromorphic Mappings
• Uniformly quasiregular mappings of Lattès type
• Uniformly perfect sets, rational semigroups, Kleinian groups and IFS’s
• Semigroups whose Julia sets are Cantor targets
• Local dynamics of uniformly quasiregular mappings
• The Dynamics of Semigroups of Rational Functions I
• Dynamics of infinitely generated nicely expanding rational semigroups and the inducing method

This page was built for publication: Quasiregular semigroups with examples