Nowhere coexpanding functions

Andrew Cook; Andy Hammerlindl; Warwick Tucker

doi:10.1063/5.0162148

Nowhere coexpanding functions

Andrew Cook, Andy Hammerlindl, Warwick Tucker

School of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

Abstract

We define a family of C1 functions, which we call "nowhere coexpanding functions," that is closed under composition and includes all C3 functions with non-positive Schwarzian derivatives. We establish results on the number and nature of the fixed points of these functions, including a generalization of a classic result of Singer.

Original language	English
Article number	123105
Number of pages	6
Journal	Chaos
Volume	33
Issue number	12
DOIs	https://doi.org/10.1063/5.0162148
Publication status	Published - 1 Dec 2023

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10.1063/5.0162148

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Nowhere coexpanding functions

Abstract

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