Ergodic theory for smooth one-dimensional dynamical systems

Mikhail Lyubich

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arXiv · math/9201286

Ergodic theory for smooth one-dimensional dynamical systems

Mikhail Lyubich

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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.

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BibTeX RIS

Mikhail Lyubich. 1991-06-12. Ergodic theory for smooth one-dimensional dynamical systems. https://arxiv.org/abs/math/9201286

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