The entropy of holomorphic correspondences: exact computations and rational semigroups

DOI10.5186/aasfm.2021.4667zbMath1475.30063arXiv2004.13691OpenAlexW3199237503MaRDI QIDQ4958757

Shrihari Sridharan, Gautam Bharali

Publication date: 15 September 2021

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.13691

zbMATH Keywords

topological entropyrational semigroupsholomorphic correspondences

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Topological entropy (37B40) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Dynamical systems involving relations and correspondences in one complex variable (37F05)

Related Items (1)

Recurrence in the dynamics of meromorphic correspondences and holomorphic semigroups

Cites Work

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• The Dynamics of Semigroups of Rational Functions I
• INVERSE TOPOLOGICAL PRESSURE WITH APPLICATIONS TO HOLOMORPHIC DYNAMICS OF SEVERAL COMPLEX VARIABLES
• Entropy for Group Endomorphisms and Homogeneous Spaces
• Holomorphic correspondences mating Chebyshev-like maps with Hecke groups

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