Prime orbit theorems for expanding Thurston maps: Dirichlet series and orbifolds
DOI10.1016/j.aim.2024.109600arXiv2312.05514OpenAlexW4392932957MaRDI QIDQ6126738
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Publication date: 10 April 2024
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2312.05514
rational mapprime orbit theoremRuelle zeta functionexpanding Thurston mapdynamical Dirichlet seriespostcritically-finite map
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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