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math.CA2023★ 2 cited
Interpolating with generalized Assouad dimensions
Amlan Banaji, Alex Rutar, Sascha Troscheit
The -Assouad dimensions are a family of dimensions which interpolate between the upper box and Assouad dimensions. They are a generalization of the well-studied Assouad spectrum…
math.DS2023★ 3 cited
Multifractal analysis of measures arising from random substitutions
Andrew Mitchell, Alex Rutar
We study regularity properties of frequency measures arising from random substitutions, which are a generalisation of (deterministic) substitutions where the substituted image of e…