Generalised intermediate dimensions

We introduce a family of dimensions, which we call the Φ-intermediate dimensions, that lie between the Hausdorff and box dimensions and generalise the intermediate dimensions introduced by Falconer, Fraser and Kempton. This is done by restricting the relative sizes of the covering sets in a way that...

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Bibliographic Details
Main Author: Amlan Banaji
Format: Default Article
Published: 2023
Subjects:
Pure mathematics
intermediate dimensions
Φ-intermediate dimensions
Hausdorff dimension
box dimension
dimension interpolation
General Mathematics
Online Access:https://hdl.handle.net/2134/23650863.v1
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https://hdl.handle.net/2134/23650863.v1

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