Global-Local Mixing
Dynamic Systems. Ergodic Theory. Lin’s Theorem. Global Local Mixing. Infinite
measure. Boole map. Pomeau-Manneville
This dissertation aims to present consolidated and recent concepts, examples and techniques in Ergodic Theory. The main new concept is Global Mixing, which we will continue to call Global-Local Mixing, a recent idea, dating back to 2010, to understand the behavior of a dynamical system that preserves an infinite measure that is sigma-finite. We will show that the famous Boole and Maneville-Pomeau maps are both Global-Local Mixing.