Dynamical properties of the tent map

About the paper

coauthors Klaus Scheicher
Víctor F. Sirvent
language English
published in Journal of the London Mathematical Society 93, No. 2 (2016)
pages 319 to 340
DOI 10.1112/jlms/jdv071
supported by FWF, project P23990

Abstract

Tent maps are continuous composites of two linear functions that act on the unit interval. In the present paper we describe and analyse a connection between dynamical systems induced by tent maps and the dynamics induced by a certain type of beta-expansion. This relation, which is a weaker form of measure-theoretical conjugacy of dynamical systems, allows us to transfer statements concerning the periodicity of orbits but it turns out that the underlying symbolic dynamical systems are not connected via a finite state transducer.

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Links

Journal of the London Mathematical Society
Austrian Science Foundation (FWF)