Affiliation:
1. School of Mathematics, Monash University , Victoria 3800, Australia
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.
Funder
Department of Education, Skills and Employment, Australian Government
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics
Reference9 articles.
1. The influence of the sigmoid function parameters on the speed of backpropagation learning,1995
2. Ordinary Differential Equations
3. Half-order differentials on Riemann surfaces;Acta Math.,1966
4. Getting rid of the negative Schwarzian derivative condition;Ann. Math. (2),2000