Institute for Mathematical Sciences
Ergodic Theory for Smooth One-Dimensional Dynamical Systems.
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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