Quadrature domains and the real quadratic family

DOI10.1090/ecgd/361zbMath1476.30022arXiv2010.00706OpenAlexW3200508356MaRDI QIDQ5157847

Kirill Lazebnik

Publication date: 20 October 2021

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.00706

zbMATH Keywords

quadrature domainsholomorphic dynamical systems

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Polynomials and rational functions of one complex variable (30C10)

Cites Work

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• Domains on which analytic functions satisfy quadrature identities
• Mating quadratic maps with the modular group
• Quadrature domains and their applications. The Harold S. Shapiro anniversary volume. Expanded version of talks and papers presented at a conference on the occasion of the 75th birthday of Harold S. Shapiro, Santa Barbara, CA, USA, March 2003
• On the notions of mating
• Schwarz reflections and anti-holomorphic correspondences
• Mating quadratic maps with the modular group II
• Topology of quadrature domains
• Univalent polynomials and Hubbard trees
• Quasiconformal Surgery in Holomorphic Dynamics
• Uniformization, Moduli, and Kleinian Groups†
• Dynamics in One Complex Variable. (AM-160)

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