Piecewise expanding maps: combinatorics, dynamics and representation of rational numbers

We establish combinatorial properties of the dynamics of piecewise increasing, continuous, expanding maps of the interval such as description of periodic and pre-periodic points, primitiveness of truncated itineraries and length of pre-periodic itineraries. We include a...

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Bibliographic Details
Main Authors: Serpa Cristina, Buescu Jorge
Format: Article
Language:English
Published: EDP Sciences 2014-11-01
Series:ESAIM: Proceedings and Surveys
Subjects:
Online Access:http://dx.doi.org/10.1051/proc/201446017