Summability condition and rigidity for finite type maps
DOI10.2422/2036-2145.201909_001zbMath1504.37059arXiv1602.05172OpenAlexW2273652801MaRDI QIDQ5075134
Publication date: 10 May 2022
Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.05172
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) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20) Teichmüller theory; moduli spaces of holomorphic dynamical systems (37F34)
Cites Work
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- Limits of degenerate parabolic quadratic rational maps
- The Teichmüller space of a rational map immerses into moduli space
- Dynamical properties of some classes of entire functions
- Uniform approximation by functions analytic on a Riemann surface
- Quasiconformal homeomorphisms and dynamics. III: The Teichmüller space of a holomorphic dynamical system
- Rigidity of holomorphic Collet-Eckmann repellers
- A disconnected deformation space of rational maps
- Ruelle operator and transcendental entire maps
- Collet, Eckmann and the bifurcation measure
- Poincaré series and instability of exponential maps
- Instability of exponential Collet-Eckmann maps
- Uniform approximation by meromorphic functions on Riemann surfaces
- On an analytic approach to the Fatou conjecture
- Perturbations of weakly expanding critical orbits
- Infinitesimal perturbations of rational maps
- A simple proof for monotonicity of entropy in the quadratic family
- On the Cauchy transform vanishing outside a compact
- Fixed points of the Ruelle–Thurston operator and the Cauchy transform
- Remarks on the Ruelle operator and the invariant line fields problem: II
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