Examples
Examples include:
- μ could be the normalized angle measure dθ/2π on the unit circle, and T a rotation. See equidistribution theorem;
- the Bernoulli scheme;
- the interval exchange transformation;
- with the definition of an appropriate measure, a subshift of finite type;
- the base flow of a random dynamical system.
Read more about this topic: Measure-preserving Dynamical System
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