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 D2839
Probability-preserving system
Formulation 0
A D3116: Probabilistic endosystem $S = (\Omega, \mathcal{F}, \mathbb{P}, T)$ is probability-preserving system if and only if $T$ is a D3120: Probability-preserving endomorphism on $S$.
Also known as
Probability-preserving dynamical system
Children
▶ D5575: Probability-preserving random euclidean real sequence
Results
▶ R4455