Asymptotic stability of densities for piecewise convex maps
Volume 57 / 1992
Annales Polonici Mathematici 57 (1992), 83-90
DOI: 10.4064/ap-57-1-83-90
Abstract
We study the asymptotic stability of densities for piecewise convex maps with flat bottoms or a neutral fixed point. Our main result is an improvement of Lasota and Yorke's result ([5], Theorem 4).