Paper ID: 2303.12814

Nowhere coexpanding functions

Andrew Cook, Andy Hammerlindl, Warwick Tucker

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.

Submitted: Mar 22, 2023