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math.DS2025
Dimension of Besicovitch-Eggleston sets for non-autonomous systems with countable symbolic dynamics
Jonny Imbierski, Charlene Kalle
In this article we derive a formula for the Hausdorff dimension of Besicovitch-Eggleston level sets associated with non-autonomous dynamics constructed from families of countable a…
math.DS2023
Birkhoff spectrum for diagonally self-affine sets and digit frequencies for GLS systems with redundancy
Jonny Imbierski, Charlene Kalle, Reza Mohammadpour
In this article, we calculate the Birkhoff spectrum in terms of the Hausdorff dimension of level sets for Birkhoff averages of continuous potentials for a certain family of diagona…