Maximal ergodic theorem
= Maximal ergodic theorem
{wiki=Maximal_ergodic_theorem}
The Maximal Ergodic Theorem is a result in ergodic theory, which is a branch of mathematics that studies dynamical systems with an invariant measure and related problems. The theorem addresses the behavior of certain sequences of averages associated with dynamical systems, particularly those involving the action of a measure-preserving transformation.