Prime orbit theorems for expanding Thurston maps: genericity of strong non-integrability condition
DOI10.1016/J.AIM.2024.109765zbMATH Open1547.37036MaRDI QIDQ6562866
Publication date: 27 June 2024
Published in: Advances in Mathematics (Search for Journal in Brave)
rational mapprime orbit theoremexpanding Thurston mappostcritically-finite mapnonlocal integrabilitystrong non-integrability
Asymptotic results on counting functions for algebraic and topological structures (11N45) 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) Distribution of primes (11N05) 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) Primes (11A41)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Ergodic theory of expanding Thurston maps
- Nice inducing schemes and the thermodynamics of rational maps
- Weak expansion properties and large deviation principles for expanding Thurston maps
- Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
- A proof of Thurston's topological characterization of rational functions
- Dynamical determinants via dynamical conjugacies for postcritically finite polynomials
- Equivalence and topological invariance of conditions for non-uniform hyperbolicity in the iteration of rational maps
- Prime number theorems and holonomies for hyperbolic rational maps
- Closed geodesics and holonomies for Kleinian manifolds
- Equilibrium states for expanding Thurston maps
- Stability of mixing and rapid mixing for hyperbolic flows
- Periodic points and the measure of maximal entropy of an expanding Thurston map
- Expanding maps on Cantor sets and analytic continuation of zeta functions
- Asymptotic Counting in Conformal Dynamical Systems
- Zeta Functions and Asymptotic Formulae for Preperiodic Orbits of Hyperbolic Rational Maps
- Prevalence of rapid mixing—II: topological prevalence
- Expanding Thurston Maps
- Local Mixing and Invariant Measures for Horospherical Subgroups on Abelian Covers
- Statistical properties of one-dimensional maps under weak hyperbolicity assumptions
- Statistical properties of topological Collet–Eckmann maps
- Entropy-Expansive Maps
- Uniform exponential mixing and resonance free regions for convex cocompact congruence subgroups of $\operatorname {SL}_2(\mathbb {Z})$
- Prime orbit theorems for expanding Thurston maps: Dirichlet series and orbifolds
- Prime orbit theorems for expanding Thurston maps: Latt\`es maps and split Ruelle operators
This page was built for publication: Prime orbit theorems for expanding Thurston maps: genericity of strong non-integrability condition
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6562866)