Mating quadratic maps with the modular group II

DOI10.1007/s00222-019-00927-9zbMath1437.37054arXiv1611.05257OpenAlexW2950883830WikidataQ122111946 ScholiaQ122111946MaRDI QIDQ2304171

Luna Lomonaco, Shaun R. Bullett

Publication date: 6 March 2020

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

Full work available at URL: https://arxiv.org/abs/1611.05257

zbMATH Keywords

modular groupcomplex dynamicsrational mapsholomorphic correspondencesmating quadratic maps

Mathematics Subject Classification ID

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) Dynamical systems involving relations and correspondences in one complex variable (37F05) Teichmüller theory; moduli spaces of holomorphic dynamical systems (37F34)

Related Items (13)

Hausdorff dimension of Julia sets of unicritical correspondences ⋮ Combining rational maps and Kleinian groups via orbit equivalence ⋮ Dynamics of Schwarz Reflections: The Mating Phenomena ⋮ On self-correspondences on curves ⋮ The Sullivan dictionary and Bowen-Series maps ⋮ Equidistribution for matings of quadratic maps with the modular group ⋮ Correspondences in Complex Dynamics ⋮ Some Connections of Complex Dynamics ⋮ Quadrature domains and the real quadratic family ⋮ Schwarz reflections and anti-holomorphic correspondences ⋮ Mating quadratic maps with the modular group II ⋮ Dynamics of modular matings ⋮ Bers slices in families of univalent maps

Cites Work

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• On Klein's Combination Theorem
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