Tessellation and Lyubich–Minsky laminations associated with quadratic maps, I: pinching semiconjugacies

DOI10.1017/S0143385708080255zbMath1160.37373arXivmath/0609280MaRDI QIDQ3625426

Tomoki Kawahira

Publication date: 5 May 2009

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609280

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50)

Related Items (3)

Unveiling the fractal structure of Julia sets with Lagrangian descriptors ⋮ Tessellation and Lyubich–Minsky laminations associated with quadratic maps, II: Topological structures of 3-laminations ⋮ An implosion arising from saddle connection in 2D complex dynamics

Cites Work

• The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets
• Pinching of polynomials.
• A Proof of Simultaneous Linearization with a Polylog Estimate
• Semiconjugacies between the Julia sets of geometrically finite rational maps
• Convergence of pinching deformations and matings of geometrically finite polynomials
• Dynamics in One Complex Variable. (AM-160)

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