Computable Carathéodory theory

DOI10.1016/j.aim.2014.07.039zbMath1295.30022arXiv1209.6096OpenAlexW2093224788MaRDI QIDQ406298

Cristobal Rojas, Michael Yampolsky, Ilia A. Binder

Publication date: 8 September 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.6096

zbMATH Keywords

computabilityCarathéodory theoryRiemann mapping theorem

Mathematics Subject Classification ID

Constructive and recursive analysis (03F60) General theory of conformal mappings (30C35)

Related Items (7)

Computability in harmonic analysis ⋮ Carathéodory convergence and harmonic measure ⋮ Non computable Mandelbrot-like sets for a one-parameter complex family ⋮ Solving Riemann-Hilbert problems with meromorphic functions ⋮ Non-computable impressions of computable external rays of quadratic polynomials ⋮ Computable Complex Analysis ⋮ Computable Geometric Complex Analysis and Complex Dynamics

Cites Work

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• An effective Carathéodory theorem
• On the computational complexity of the Riemann mapping
• An effective Riemann Mapping Theorem
• On normal and automorphic functions
• Derandomization of Euclidean Random Walks
• Convergence of a Variant of the Zipper Algorithm for Conformal Mapping
• Dynamics in One Complex Variable. (AM-160)
• On the Degree of Variation in Conformal Mapping of Variable Regions
• Étude de la correspondance entre les frontières dans la représentation conforme

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