On the Hausdorff dimension of fibres

DOI10.1007/BF02775791zbMath0748.28004OpenAlexW193419487MaRDI QIDQ1182838

Yuval Peres, Itai Benjamini

Publication date: 28 June 1992

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02775791

zbMATH Keywords

Hausdorff dimensionMinkowski dimensionfibre of a setfractal reconstruction

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (3)

A variational formula for dimension spectra of linear cellular automata ⋮ Dimensions of slices through the Sierpiński gasket ⋮ Differentiable points of Sierpinski-like sponges

Cites Work

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• Random walks and percolation on trees
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• Superbranching processes and projections of random Cantor sets
• Intersecting random translates of invariant Cantor sets
• Random walks on a tree and capacity in the interval
• Projections of random Cantor sets
• Billingsley dimension in probability spaces
• Random Recursive Constructions: Asymptotic Geometric and Topological Properties
• Dimension, entropy and Lyapunov exponents
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions

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