Piecewise monotone mappings on an interval provide simple examples of discrete dynamical systems whose behaviour can be very complicated. These notes are concerned with the properties of the iterates of such mappings. The material presented can be understood by anyone who has had a basic course in (one-dimensional) real analysis. The account concentrates on the topological (as opposed to the measure theoretical) aspects of the theory of piecewise monotone mappings. As well as offering an elementary introduction to this theory, these notes also contain a more advanced treatment of the problem of classifying such mappings up to topological conjugacy.

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Bibliographic Information

Book Title: Iterates of Piecewise Monotone Mappings on an Interval
Authors: Chris Preston
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0079769
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1988
Softcover ISBN: 978-3-540-50329-3Published: 12 October 1988
eBook ISBN: 978-3-540-45971-2Published: 15 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VIII, 172
Topics: Real Functions

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Table of contents (13 chapters)

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