The simplest erasing substitution

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 discussing in some detail the geometric, analytical, dynamical and arithmetic properties of a particular example, which has t...

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Bibliographic Details
Published in:Nonlinearity 2022-08, Vol.35 (8), p.4317-4356
Main Authors: Della Corte, Alessandro, Isola, Stefano, Piergallini, Riccardo
Format: Article
Language:English
Subjects:
Baire class 1 function
distributional chaos
erasing substitution
topological dynamics
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Summary: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 discussing in some detail the geometric, analytical, dynamical and arithmetic properties of a particular example, which has the virtue of being arguably the simplest and that at the same time produces interesting properties and new challenging problems.
ISSN:0951-7715
1361-6544
DOI:10.1088/1361-6544/ac7690