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math.DS2021
Dynamics of interval maps generated by erasing substitutions
Alessandro Della Corte, Marco Farotti
We study discontinuous interval maps generated by the action of erasing block substitutions on the binary expansion. After establishing some general properties of these maps, we ca…
math.DS2021★ 5 cited
The simplest erasing substitution
Alessandro Della Corte, Stefano Isola, Riccardo Piergallini
In this work, we begin the study of a new class of dynamical systems determined by interval maps generated by the symbolic action of erasing substitution rules. We do this by discu…