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Measure-preserving transformation ( $T$ )

A measurable transformation

T : X \to X

preserves a measure

μ

when

μ (T^{- 1} A) = μ (A)

for every measurable set

A

.

Table of contents 107 4
- Invariant sigma-algebra Measure-preserving transformation 16
- Ergodic measure-preserving transformation Measure-preserving transformation 74 2
  - Irrational rotation of the circle Ergodic measure-preserving transformation 51 1
    - Everywhere interval frequency under an irrational rotation Irrational rotation of the circle 38

 Ancestors (7)

 Incoming links (5)