Nowhere coexpanding functions

Authors :: Cook, Andrew
Hammerlindl, Andy
Tucker, Warwick
Publication Year :: 2023
Abstract: We define a family of $C^1$ functions which we call "nowhere coexpanding functions" that is closed under composition and includes all $C^3$ functions with non-positive Schwarzian derivative. We establish results on the number and nature of the fixed points of these functions, including a generalisation of a classic result of Singer.<br />Comment: 9 pages, 3 figures