Author:
Della Corte Alessandro,Isola Stefano,Piergallini Riccardo
Abstract
Abstract
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.
Funder
Italian Ministry of Education and Research
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics
Cited by
2 articles.
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1. Generic $$\delta $$-chaos for erasing interval maps;Bollettino dell'Unione Matematica Italiana;2023-03-06
2. Mixing properties of erasing interval maps;Ergodic Theory and Dynamical Systems;2023-03-06