1991/06/12 by Lyubich, Mikhail
#Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.math/9201286
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.