Ergodic theory for smooth one-dimensional dynamical systems

Details Ergodic theory for smooth one-dimensional dynamical systems Ergodic theory for smooth one-dimensional dynamical systems

1991-06-12

arxiv.org/abs/math/9201286v1

Mathematics

Dynamical Systems

Scientific paper

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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