Quasisymmetries of the basilica and the Thompson group

DOI10.1007/S00039-018-0452-0zbMath1499.30238arXiv1612.08492OpenAlexW2562380252MaRDI QIDQ724266

Mikhail Lyubich, Sergei Merenkov

Publication date: 25 July 2018

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.08492

Mathematics Subject Classification ID

Geometric group theory (20F65) 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) Holomorphic families of dynamical systems; holomorphic motions; semigroups of holomorphic maps (37F44)

Related Items (2)

Quasisymmetric uniformization and Hausdorff dimensions of Cantor circle Julia sets ⋮ On dynamical gaskets generated by rational maps, Kleinian groups, and Schwarz reflections

Cites Work

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• Quasisymmetries of Sierpiński carpet Julia sets
• The boundary correspondence under quasiconformal mappings
• A Thompson group for the basilica
• A Sierpiński carpet with the co-Hopfian property
• Complex dynamics
• Introductory notes on Richard Thompson's groups
• Lectures on analysis on metric spaces
• Quasisymmetric rigidity of square Sierpiński carpets
• Lectures on \(n\)-dimensional quasiconformal mappings
• Rigidity of Schottky sets
• Geometry and Dynamics of Quadratic Rational Maps

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