##  [Ergodic Decomposition](/ergodic-decomposition) 

  ##  [Ergodic Decomposition](https://natural.quantumdictionary.io/ergodic-decomposition-0) 

  

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**Natural & Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The representation of an invariant measure μ on a measure-preserving system as an integral (mixture) of ergodic invariant measures: μ = ∫ μ_x dν(x), where almost every μ_x is ergodic and ν is a measure on the space of ergodic components.