Scenery Flow, Conical Densities, and Rectifiability

DOI10.1007/978-3-319-18660-3_2zbMath1338.28008arXiv1701.08615OpenAlexW2477712708MaRDI QIDQ2808810

Antti Käenmäki

Publication date: 25 May 2016

Published in: Fractal Geometry and Stochastics V (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.08615

zbMATH Keywords

rectifiabilityscenery flowfractal distributionsconical densities

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Fractals (28A80) Spaces of measures, convergence of measures (28A33) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Scaling scenery of \((\times m, \times n)\) invariant measures
• Geometry of measures in \(R^ n:\) Distribution, rectifiability, and densities
• Equidistribution from fractal measures
• Tangent measure distributions of fractal measures
• On the magnification of Cantor sets and their limit models
• On Upper Conical Density Results
• Measures with uniform scaling scenery
• THE SCENERY FLOW FOR HYPERBOLIC JULIA SETS
• Ratio geometry, rigidity and the scenery process for hyperbolic Cantor sets
• Structure of distributions generated by the scenery flow
• Dynamics of the scenery flow and geometry of measures
• Ergodic fractal measures and dimension conservation
• Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions

This page was built for publication: Scenery Flow, Conical Densities, and Rectifiability