Ratio geometry, rigidity and the scenery process for hyperbolic Cantor sets

DOI10.1017/S0143385797079194zbMath0886.58089arXivmath/9405217OpenAlexW2050942226MaRDI QIDQ4348530

Tim Bedford, Albert Meads Fisher

Publication date: 19 April 1998

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9405217

zbMATH Keywords

rigidityconjugacy classhyperbolic Cantor setsscenery process

Mathematics Subject Classification ID

Dynamical systems with hyperbolic orbits and sets (37D05) Low-dimensional dynamical systems (37E99)

Related Items

Anosov diffeomorphisms and \({\gamma}\)-tilings, On the magnification of Cantor sets and their limit models, Dynamics of the scenery flow and conical density theorems, Locally rich compact sets, Equidistribution from fractal measures, 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, Golden tilings, A simultaneous version of Host’s equidistribution Theorem, On bounded distortions of maps in the line, Train tracks withC¹⁺self-renormalizable structures, Geometric rigidity of \(\times m\) invariant measures, The scenery flow for geometric structures on the torus: The linear setting, Scenery Flow, Conical Densities, and Rectifiability, Tangent measure distributions of hyperbolic Cantor sets, Dynamics of the scenery flow and geometry of measures