Assouad-type spectra for some fractal families
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Publication:4622008
DOI10.1512/iumj.2018.67.7509zbMath1407.28002arXiv1611.08857OpenAlexW2964239561WikidataQ129020975 ScholiaQ129020975MaRDI QIDQ4622008
Publication date: 8 February 2019
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.08857
self-similar setsAssouad dimensionMandelbrot percolationself-affine carpetsAssouad spectrumMoran constructions
Related Items (21)
Intermediate Assouad-like dimensions ⋮ Assouad dimension influences the box and packing dimensions of orthogonal projections ⋮ Minkowski dimension for measures ⋮ An upper bound for the intermediate dimensions of Bedford-McMullen carpets ⋮ \(L^p \rightarrow L^q\) bounds for spherical maximal operators ⋮ Spherical maximal operators on Heisenberg groups: Restricted dilation sets ⋮ Real analysis, harmonic analysis and applications. Abstracts from the workshop held July 3--9, 2022 ⋮ LOWER ASSOUAD-TYPE DIMENSIONS OF UNIFORMLY PERFECT SETS IN DOUBLING METRIC SPACES ⋮ Spherical maximal functions and fractal dimensions of dilation sets ⋮ Assouad-type dimensions of overlapping self-affine sets ⋮ AHLFORS–DAVID REGULAR SUBSETS OF FRACTALS ⋮ The Assouad spectrum and the quasi-Assouad dimension: a tale of two spectra ⋮ New dimension spectra: finer information on scaling and homogeneity ⋮ Lower dimensions of some fractal sets ⋮ Interpolating between dimensions ⋮ The box dimensions of exceptional self-affine sets in \(\mathbb{R}^3\) ⋮ The Assouad spectrum of random self-affine carpets ⋮ Properties of quasi-Assouad dimension ⋮ Lower Assouad Dimension of Measures and Regularity ⋮ The quasi-Assouad dimension of stochastically self-similar sets ⋮ Fractal Geometry of Bedford-McMullen Carpets
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