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
Definition D5569
Almost stationary measurable map
Formulation 0
Let $M = (X, \mathcal{F}, \mu, T)$ be a D2827: Measure-preserving system such that
(i) $f : X \to Y$ is a D201: Measurable map on $M$
Then $f$ is almost stationary on $M$ if and only if \begin{equation} f \circ T \overset{a.e.}{=} f \end{equation}
Children
D5570: Stationary measurable map