# Ergodic theory

**Ergodic theory** is a branch of mathematics that studies dynamical systems with an invariant measure and related problems.

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## Quotes[edit]

- Ergodic theory is a mathematical subject that studies the statistical properties of deterministic dynamical systems. It is a combination of several branches of pure mathematics, such as measure theory, functional analysis, topology, and geometry, and it also has applications in a variety of fields in science and engineering, as a branch of applied mathematics.
- Jiu Ding; Aihui Zhou (28 June 2010).
*Statistical Properties of Deterministic Systems*. Springer Science & Business Media. p. 1. ISBN 978-3-540-85367-1.

- Jiu Ding; Aihui Zhou (28 June 2010).