Complex maps without invariant densities

DOI10.1088/0951-7715/19/12/012zbMath1122.37037arXivmath/0606677OpenAlexW3103465822WikidataQ59184857 ScholiaQ59184857MaRDI QIDQ3423099

Henk Bruin, Mike Todd

Publication date: 20 February 2007

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606677

zbMATH Keywords

Hausdorff dimensiondynamical dimensioninvariant probability measureFeigenbaum mapsFibonacci mapsKoebe space

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Renormalization of holomorphic dynamical systems (37F25)

Related Items (5)

Statistical properties of topological Collet–Eckmann maps ⋮ Robust sensitive dependence of geometric Gibbs states for analytic families of quadratic maps ⋮ A characterization of hyperbolic potentials of rational maps ⋮ High-order phase transitions in the quadratic family ⋮ Expanding measures

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