Analyticity of dimensions for hyperbolic surface diffeomorphisms

DOI10.1090/proc/12477zbMath1346.37037OpenAlexW2007593606MaRDI QIDQ5255255

Mark Pollicott

Publication date: 12 June 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/12477

zbMATH Keywords

diffeomorphismsdynamical Zeta functions

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems with hyperbolic orbits and sets (37D05) Real-analytic functions (26E05)

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Spectral transitions for the square Fibonacci Hamiltonian ⋮ The spectral properties of the strongly coupled Sturm Hamiltonian of eventually constant type ⋮ Quantum and spectral properties of the Labyrinth model ⋮ The Hausdorff and dynamical dimensions of self-affine sponges: a dimension gap result ⋮ The failure of Ruelle's property for entire functions ⋮ Real analyticity for random dynamics of transcendental functions ⋮ The Fibonacci Hamiltonian ⋮ Phase transitions on the Markov and Lagrange dynamical spectra ⋮ Dimension estimates for non-conformal repellers and continuity of sub-additive topological pressure ⋮ Absolutely continuous convolutions of singular measures and an application to the square Fibonacci Hamiltonian ⋮ The Regularity of the Linear Drift in Negatively Curved Spaces

Cites Work

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