Prime number theorems and holonomies for hyperbolic rational maps

DOI10.1007/s00222-016-0693-1zbMath1380.37095arXiv1603.00107OpenAlexW3098353208MaRDI QIDQ2356919

Hee Oh, Dale Winter

Publication date: 7 June 2017

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.00107

zbMATH Keywords

periodic orbitRiemann spherehyperbolic rational mapassociated holonomy

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Periodic orbits of vector fields and flows (37C27) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Primes (11A41) Covering theorems in conformal mapping theory (30C25)

Related Items (5)

Quantitative equidistribution of angles of multipliers ⋮ Sensitive dependence of geometric Gibbs states at positive temperature ⋮ Prime orbit theorems for expanding Thurston maps: Dirichlet series and orbifolds ⋮ Statistics of multipliers for hyperbolic rational maps ⋮ Exponential mixing of frame flows for convex cocompact hyperbolic manifolds

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