Let $M = (X, \mathcal{F}, \mu, T)$ be a D2827: Measure-preserving system.
The set of stationary measurable sets in $M$ is the D11: Set
\begin{equation}
\left\{ E \in \mathcal{F} : T^{-1} E = E \right\}
\end{equation}
▶ | Ergodic measure-preserving system |
▶ | Set of stationary events |
▶ | Set of stationary measurable sets is a sigma-algebra |