scientific article; zbMATH DE number 4184470

zbMath0718.58031MaRDI QIDQ5750007

Feliks Przytycki, Wieslaw Szlenk, P. Grzegorczyk

Publication date: 1990

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1990__53_4_431_0

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zbMATH Keywords

absolutely continuous invariant measureJulia setRiemann sphererational mapmetric exactness

Mathematics Subject Classification ID

Topological dynamics (37B99) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Ergodic theory (37A99)

Related Items

Attractors for graph critical rational maps ⋮ Lyapunov Characteristic Exponents are Nonnegative ⋮ Hausdorff measures on Julia sets of subexpanding rational maps ⋮ Attractors and recurrence for dendrite-critical polynomials ⋮ Backward stability for polynomial maps with locally connected Julia sets ⋮ Measures and dimensions in conformal dynamics ⋮ Perturbing Misiurewicz parameters in the exponential family ⋮ Recurrent critical points and typical limit sets for conformal measures ⋮ Thermodynamic Formalism and Geometric Applications for Transcendental Meromorphic and Entire Functions

Cites Work

• Absolutely continuous measures for certain maps of an interval
• Positive measure sets of ergodic rational maps
• Exemples de fractions rationnelles ayant une orbite dense sur la sphère de Riemann
• On invariant measures for expanding differentiable mappings
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