Prime orbit theorems for expanding Thurston maps: Latt\`es maps and split Ruelle operators

DOI10.1016/J.AIM.2024.109723arXiv2312.06688MaRDI QIDQ6463095

Tianyi Zheng, Zhiqiang Li

Publication date: 9 December 2023

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Orbit growth in dynamical systems (37C35) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

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