?系列短课程：Smooth surface diffeomorphisms in positive entropy （X）：Topological transitivity and homoclinic relations
Abstract: Using the Topological proposition established in the proof of the finiteness theorem we will relate the decomposition into measured homoclinic classes (which are sets of measures) to the topology on the manifold. Namely, we will:
- relate topological and measured homoclinic classes
- deduce unique mme from topological transitivity
- deduce strong mixing of the mme from topological mixing
Questions on the whole set of lectures will be welcome.