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
Definition D2827
Measure-preserving system
Formulation 0
A D3115: Measure space endosystem $S = (X, \mathcal{F}, \mu, T)$ is a measure-preserving system if and only if $T$ is a D2940: Measure-preserving endomorphism on $M$.
Also known as
Measure-preserving dynamical system, Measure-preserving endosystem, Measure-preserving endomorphism system
Children
▶ D5569: Almost stationary measurable map
▶ D2839: Probability-preserving system
▶ D2841: Stationary measurable set