scientific article; zbMATH DE number 1230641

zbMath0915.58041MaRDI QIDQ4222614

Manfred Denker, R. Daniel Mauldin, Mariusz Urbański, Zbigniew H. Nitecki

Publication date: 29 June 1999

Full work available at URL: https://eudml.org/doc/212283

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zbMATH Keywords

thermodynamic formalismrational functionRiemann sphereconformal measureMarkov partition

Mathematics Subject Classification ID

Topological dynamics (37B99) Fractals (28A80) Ergodic theory (37A99) Hausdorff and packing measures (28A78)

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Attractors for graph critical rational maps ⋮ Statistical properties of topological Collet–Eckmann maps ⋮ Nice inducing schemes and the thermodynamics of rational maps ⋮ Gibbs and equilibrium measures for elliptic functions ⋮ Attractors and recurrence for dendrite-critical polynomials ⋮ On the Lyapunov spectrum for rational maps ⋮ Rigidity in holomorphic and quasiregular dynamics ⋮ Backward stability for polynomial maps with locally connected Julia sets ⋮ Absence of line fields and Mañé’s theorem for nonrecurrent transcendental functions ⋮ Measures and dimensions in conformal dynamics ⋮ On the ergodicity of conformal measures for rational maps with totally disconnected Julia sets ⋮ Recurrent critical points and typical limit sets for conformal measures ⋮ Non-persistently recurrent points, qc-surgery and instability of rational maps with totally disconnected Julia sets ⋮ Thermodynamic Formalism and Geometric Applications for Transcendental Meromorphic and Entire Functions ⋮ Conical limit set and Poincaré exponent for iterations of rational functions

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