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math.DS2023
Restricted slowly growing digits for infinite iterated function systems
Gerardo González Robert, Mumtaz Hussain, Nikita Shulga +1
For an infinite iterated function system on with an attractor and for an infinite subset , consider the set \[ \mathbb E…
math.DS2021
Chaotic sets and Hausdorff dimension for Lüroth expansions
Rafael Alcaraz Barrera, Gerardo González Robert
We provide new similarities between regular continued fractions and Lüroth series in terms of topological dynamics and Hausdorff dimension. In particular, we establish a complete a…