Weak mixing is a property of dynamical systems that signifies a stronger form of mixing than just mixing, where the system exhibits some level of independence between the future and past. In a weakly mixing system, any two measurable sets will become asymptotically independent as time goes on, meaning that the probability of finding points in one set does not significantly affect the probability of finding points in the other set over time. This concept connects to various statistical and probabilistic aspects of dynamical systems.
congrats on reading the definition of weak mixing. now let's actually learn it.