Intermediate Dimensions: A Survey

DOI10.1007/978-3-030-74863-0_14zbMath1484.28007arXiv2011.04363OpenAlexW3098921446MaRDI QIDQ5016447

Kenneth J. Falconer

Publication date: 13 December 2021

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.04363

Mathematics Subject Classification ID

Fractals (28A80) Dimension theory in general topology (54F45)

Related Items

Intermediate dimensions of infinitely generated attractors ⋮ Attainable forms of intermediate dimensions ⋮ Generalised intermediate dimensions ⋮ Intermediate dimension of images of sequences under fractional Brownian motion ⋮ Fractal Geometry of Bedford-McMullen Carpets

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Packing dimension of the image of fractional Brownian motion
• New dimension spectra: finer information on scaling and homogeneity
• Interpolating between dimensions
• A capacity approach to box and packing dimensions of projections of sets and exceptional directions
• Projection theorems for intermediate dimensions
• Intermediate dimensions
• Box and packing dimensions of projections and dimension profiles
• Sixty Years of Fractal Projections
• Assouad type dimensions and homogeneity of fractals
• The Hausdorff dimension of general Sierpiński carpets
• Hausdorff dimension, orthogonal projections and intersections with planes
• The self-affine carpets of McMullen and Bedford have infinite Hausdorff measure
• Packing dimensions of projections and dimension profiles
• Dimensions of Self-affine Sets: A Survey
• Fractal Geometry of Bedford-McMullen Carpets
• Assouad Dimension and Fractal Geometry
• A Capacity Approach to Box and Packing Dimensions of Projections and Other Images
• On Hausdorff dimension of projections
• Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions