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Iterates of Maps on an Interval

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Author(s): Chris Preston (auth.)
Series: Lecture Notes in Mathematics 999
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1983

Language: English
Pages: 210
City: Berlin; New York
Tags: Real Functions

Introduction....Pages 1-18
Piecewise monotone functions....Pages 19-40
Well-behaved piecewise monotone functions....Pages 41-59
Property R and negative schwarzian derivatives....Pages 60-81
The iterates of functions in S....Pages 82-108
Reductions....Pages 109-142
Getting rid of homtervals....Pages 143-156
Kneading sequences....Pages 157-164
An “Almost all” version of theorem 5.1....Pages 165-180
Occurrence of the different types of behaviour....Pages 181-197