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Ergodic theory for smooth one-dimensional dynamical systems - MaRDI portal

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Ergodic theory for smooth one-dimensional dynamical systems

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Publication:6503523

arXivmath/9201286MaRDI QIDQ6503523

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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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