Intermediate dimensions of Bedford-McMullen carpets with applications to Lipschitz equivalence

Intermediate dimensions were introduced to provide a spectrum of dimensions interpolating between Hausdorff and box-counting dimensions for fractals where these differ. In particular, the self-affine Bedford–McMullen carpets are a natural case for investigation, but until now only very rough bounds...

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Bibliographic Details
Main Authors: Amlan Banaji, István Kolossváry
Format: Default Article
Published: 2024
Subjects:
Applied mathematics
Mathematical physics
Pure mathematics
intermediate dimensions
Bedford–McMullen carpet
Hausdorff dimension
box dimension
multifractal analysis
bi-Lipschitz equivalence
method of types
Online Access:https://hdl.handle.net/2134/25828930.v1
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https://hdl.handle.net/2134/25828930.v1

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