Ergodic theory for smooth one-dimensional dynamical systems
Dynamical Systems
2016-09-06 v1
Abstract
In this paper we study measurable dynamics for the widest reasonable class of smooth one dimensional maps. Three principle decompositions are described in this class : decomposition of the global measure-theoretical attractor into primitive ones, ergodic decomposition and Hopf decomposition. For maps with negative Schwarzian derivative this was done in the series of papers [BL1-BL5], but the approach to the general smooth case must be different.
Cite
@article{arxiv.math/9201286,
title = {Ergodic theory for smooth one-dimensional dynamical systems},
author = {Mikhail Lyubich},
journal= {arXiv preprint arXiv:math/9201286},
year = {2016}
}