THE SCENERY FLOW FOR HYPERBOLIC JULIA SETS

DOI10.1112/S002461150201362XzbMath1014.37034OpenAlexW2119491693WikidataQ120985873 ScholiaQ120985873MaRDI QIDQ3152243

Tim Bedford, Mariusz Urbański, Albert Meads Fisher

Publication date: 22 October 2002

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

Full work available at URL: https://doi.org/10.1112/s002461150201362x

zbMATH Keywords

Julia setslimit setHausdorff measurehyperbolic rational mapconformal map topology

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)

Related Items (11)

Dynamics of the scenery flow and conical density theorems ⋮ Locally rich compact sets ⋮ LOCAL GEOMETRY OF SELF-SIMILAR SETS: TYPICAL BALLS, TANGENT MEASURES AND ASYMPTOTIC SPECTRA ⋮ Self-affine sets with fibred tangents ⋮ Micromeasure distributions and applications for conformally generated fractals ⋮ Local entropy averages and projections of fractal measures ⋮ Projections of Gibbs measures on self-conformal sets ⋮ Thermodynamic formalism and integral means spectrum of logarithmic tracts for transcendental entire functions ⋮ Rigidity and absence of line fields for meromorphic and Ahlfors islands maps ⋮ Scenery Flow, Conical Densities, and Rectifiability ⋮ Local structure of self-affine sets

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