释义 |
EndomorphismA Surjective Morphism from an object to itself. In Ergodic Theory, let be a Set, a Sigma Algebra on and a Probability Measure. A Map is calledan endomorphism or Measure-Preserving Transformation if - 1.
is Surjective, - 2.
is Measurable, - 3.
for all .
An endomorphism is called Ergodic if it is true that Implies or 1, where . See also Measurable Function, Measure-Preserving Transformation,Morphism, Sigma Algebra, Surjective
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