Stability and measurability of the modified lower dimension

DOI10.1090/proc/16029zbMath1503.28003arXiv2102.13049OpenAlexW3129538568MaRDI QIDQ5086936

Márton Elekes, Richárd Balka, Viktor Kiss

Publication date: 8 July 2022

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

Full work available at URL: https://arxiv.org/abs/2102.13049

zbMATH Keywords

measurabilityBaire classmodified lower dimension

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Length, area, volume, other geometric measure theory (28A75)

Cites Work

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• Measures with predetermined regularity and inhomogeneous self-similar sets
• New dimension spectra: finer information on scaling and homogeneity
• Uniform perfectness of the limit sets of Kleinian groups
• Assouad type dimensions and homogeneity of fractals
• Uniformly Perfect Sets and Quasiregular Mappings
• Uniform perfectness of self-affine sets
• On the existence of doubling measures with certain regularity properties
• Lower Assouad Dimension of Measures and Regularity
• Assouad Dimension and Fractal Geometry
• A New Theory of Dimension

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