The dynamics of holomorphic correspondences of : invariant measures and the normality set

DOI10.1080/17476933.2016.1185419zbMath1344.37055arXiv1210.6011OpenAlexW3106310581MaRDI QIDQ2816601

Gautam Bharali, Shrihari Sridharan

Publication date: 25 August 2016

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.6011

zbMATH Keywords

invariant measureholomorphic correspondencenormality set

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Other generalizations of analytic functions (including abstract-valued functions) (30G30) Dynamical systems involving relations and correspondences in one complex variable (37F05)

Related Items (4)

Simultaneous action of finitely many interval maps: some dynamical and statistical properties ⋮ On self-correspondences on curves ⋮ Dynamics of holomorphic correspondences on Riemann surfaces ⋮ Equidistribution for matings of quadratic maps with the modular group

Cites Work

• Unnamed Item
• Mating quadratic maps with the modular group
• Invariant sets under iteration of rational functions
• Distribution of the values of meromorphic transformations and applications
• Regular and limit sets for holomorphic correspondences
• Dynamics of quadratic correspondences
• Matings of quadratic polynomials
• Mating quadratic maps with Kleinian groups via quasiconformal surgery
• A combination theorem for covering correspondences and an application to mating polynomial maps with Kleinian groups
• Distribution des préimages et des points périodiques d’une correspondance polynomiale
• Holomorphic correspondences mating Chebyshev-like maps with Hecke groups
• Hecke operators and equidistribution of Hecke points

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