ThmDex – An index of mathematical definitions, results, and conjectures.
▼ Set of symbols
▼ Alphabet
▼ Deduction system
▼ Theory
▼ Zermelo-Fraenkel set theory
▼ Set
▼ Subset
▼ Power set
▼ Hyperpower set sequence
▼ Hyperpower set
▼ Hypersubset
▼ Subset algebra
▼ Subset structure
▼ Measurable space
▼ Measure space
▼ Measure-preserving endomorphism
▼ Measure-preserving system
▼ Stationary measurable set
▼ Set of stationary measurable sets
Definition D4490
Set of stationary events
Formulation 0
Let $P = (\Omega, \mathcal{F}, \mathbb{P}, T)$ be a D2839: Probability-preserving system.
The set of stationary events in $P$ is the D11: Set \begin{equation} \left\{ E \in \mathcal{F} : T^{-1} E = E \right\} \end{equation}
Results
▶ R4550