Intermediate value property for the Assouad dimension of measures

DOI10.1515/AGMS-2020-0106zbMath1452.28007arXiv2001.11306OpenAlexW3056812744MaRDI QIDQ2210627

Ville Suomala

Publication date: 7 November 2020

Published in: Analysis and Geometry in Metric Spaces (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.11306

zbMATH Keywords

Assouad dimensionintermediate value property

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fractals (28A80)

Cites Work

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• Lectures on analysis on metric spaces
• Measures with predetermined regularity and inhomogeneous self-similar sets
• Accessible values for the Assouad and lower dimensions of subsets
• An intermediate-value property for Assouad dimension of metric space
• Existence of doubling measures via generalised nested cubes
• Assouad dimension of self-affine carpets
• Assouad type dimensions and homogeneity of fractals
• Local homogeneity and dimensions of measures
• Measures with specified support and arbitrary Assouad dimensions
• Every complete doubling metric space carries a doubling measure
• Badly approximable points on self-affine sponges and the lower Assouad dimension
• Lower Assouad Dimension of Measures and Regularity
• The Assouad dimensions of projections of planar sets

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