Weak expansion properties and large deviation principles for expanding Thurston maps

DOI10.1016/j.aim.2015.07.024zbMath1354.37037arXiv1502.00153OpenAlexW2964236180MaRDI QIDQ887313

N. E. Zubov

Publication date: 28 October 2015

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.00153

zbMATH Keywords

large deviationcritical pointsequilibrium state\(h\)-expansiveasymptotically \(h\)-expansiveexpanding Thurston map

Mathematics Subject Classification ID

Related Items (3)

Equilibrium states for expanding Thurston maps ⋮ Prime orbit theorems for expanding Thurston maps: Dirichlet series and orbifolds ⋮ Thermodynamic formalism for coarse expanding dynamical systems

Cites Work

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• The entropy conjecture for diffeomorphisms away from tangencies
• Weak expansiveness for actions of sofic groups
• Nice inducing schemes and the thermodynamics of rational maps
• \(\mathcal{C}^{2}\) surface diffeomorphisms have symbolic extensions
• Large deviations and the distribution of pre-images of rational maps
• The thermodynamic formalism for expanding maps
• Entropy-expansiveness and domination for surface diffeomorphisms
• Smooth interval maps have symbolic extensions
• A proof of Thurston's topological characterization of rational functions
• Intrinsic ergodicity of smooth interval maps
• Entropy-expansiveness for partially hyperbolic diffeomorphisms
• Symbolic extensions and smooth dynamical systems
• Large deviation principles for non-uniformly hyperbolic rational maps
• Large Deviations in Dynamical Systems and Stochastic Processes
• On the Perron-Frobenius-ruelle operator for rational maps on the riemann sphere and for Hölder continuous functions
• Thermodynamical formalism and multifractal analysis for meromorphic functions of finite order
• REMARKS ON LARGE DEVIATION FOR RATIONAL MAPS ON THE RIEMANN SPHERE
• Strengthened large deviations for rational maps and full shifts, with unified proof
• A Variational Principle for the Pressure of Continuous Transformations
• Topological conditional entropy
• Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps
• Equilibrium states for non-uniformly expanding maps
• Expanding Thurston Maps
• Thermodynamic formalism for countable to one Markov systems
• Large Deviation Results for Periodic Points of a Rational Map
• Digraphs
• Entropy-Expansive Maps
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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