Nowhere coexpanding functions
Machine Learning
2023-09-15 v3 Machine Learning
Dynamical Systems
Abstract
We define a family of functions which we call "nowhere coexpanding functions" that is closed under composition and includes all 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.
Cite
@article{arxiv.2303.12814,
title = {Nowhere coexpanding functions},
author = {Andrew Cook and Andy Hammerlindl and Warwick Tucker},
journal= {arXiv preprint arXiv:2303.12814},
year = {2023}
}
Comments
9 pages, 3 figures