# Category:Ergodic Theory

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This category contains results about **Ergodic Theory**.

Definitions specific to this category can be found in Definitions/Ergodic Theory.

**Ergodic theory** is the study of dynamical systems with an invariant measure.

## Subcategories

This category has the following 5 subcategories, out of 5 total.

### E

### K

- Kolmogorov-Sinai Entropy (2 P)

### L

- Lipschitz Norm (empty)
- Lipschitz Spaces (empty)

### M

- Mean Ergodic Theorem (3 P)

## Pages in category "Ergodic Theory"

The following 31 pages are in this category, out of 31 total.

### C

- Conditional Entropy Decreases if More Given
- Conditional Entropy Decreases if More Given/Corollary
- Conditional Entropy Given Trivial Sigma-Algebra is Entropy
- Conditional Entropy of Join as Sum
- Conditional Entropy of Join as Sum/Corollary 1
- Conditional Entropy of Join as Sum/Corollary 2
- Conditional Entropy of Join as Sum/Corollary 3
- Conditional Entropy of Join as Sum/Corollary 4
- Conditional Entropy of Join as Sum/Corollary 5