Infinite-dimensional Thurston theory and transcendental dynamics I: infinite-legged spiders

DOI10.4064/FM82-11-2022arXiv2102.00300MaRDI QIDQ6108396

Konstantin Bogdanov

Publication date: 29 June 2023

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.00300

zbMATH Keywords

Teichmüller spaceentire functionholomorphic dynamicssingular valuespider algorithm

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Combinatorics and topology in relation with holomorphic dynamical systems (37F20) Teichmüller theory; moduli spaces of holomorphic dynamical systems (37F34) Critical orbits for holomorphic dynamical systems (37F12)

Cites Work

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• Rigidity of escaping dynamics for transcendental entire functions
• Dynamic rays of bounded-type entire functions
• The boundary correspondence under quasiconformal mappings
• Dynamical properties of some classes of entire functions
• A proof of Thurston's topological characterization of rational functions
• A characterization of hyperbolic rational maps
• Exponential Thurston maps and limits of quadratic differentials
• THE FUNDAMENTAL GROUP OF THE HAWAIIAN EARRING IS NOT FREE
• Parameter rays in the space of exponential maps
• ESCAPING POINTS OF EXPONENTIAL MAPS
• Quasiconformal Surgery in Holomorphic Dynamics
• Classification of escaping exponential maps

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