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}

Definition D2842

Set of stationary measurable sets

Formulation 0

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}

The

Children

▶ | D2840: Ergodic measure-preserving system |

▶ | D4490: Set of stationary events |

Results

▶ | R4468: Set of stationary measurable sets is a sigma-algebra |