Slicing theorems and rigidity phenomena for self‐affine carpets

DOI10.1112/PLMS.12325zbMath1466.11051arXiv1811.07424OpenAlexW3105892709MaRDI QIDQ5109411

Amir Algom

Publication date: 12 May 2020

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

Full work available at URL: https://arxiv.org/abs/1811.07424

zbMATH Keywords

Hausdorff dimensionBedford-McMullen carpetsself-affine measuresupper box dimensionmicrosetU invariant measures

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Dimension theory of smooth dynamical systems (37C45) Integration and disintegration of measures (28A50)

Related Items (3)

Slices and distances: on two problems of Furstenberg and Falconer ⋮ An improvement on Furstenberg’s intersection problem ⋮ Fractal Geometry of Bedford-McMullen Carpets

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