Ergodic systems, being indecomposable, are from the main objects of study in dynamical systems. If a system is not ergodic, it is natural to ask the following question: Is it possible to split it into ergodic systems in such a way that the study of the former reduces to the study of latter ones? In this talk, we will answer this question for measurable maps defined on complete separable metric spaces with Borel probability measure.
No background in ergodic theory is assumed! The contents of the talk are taken from our preprint Ergodic Decomposition, to appear in Indagationes Mathematicae.
For technical reasons, the talk could not be recorded. However, its slides can be found here.