nLab ergodic decomposition theorem

Redirected from "ergodic decomposition".
Contents

Context

Representation theory

Measure and probability theory

Limits and colimits

Contents

Idea

The ergodic decomposition theorem says that, under some conditions, every invariant measure is a mixture of ergodic ones.

In terms of category theory, the statement can be often expressed in terms of a categorical limit.

Statement of the theorem

(…)

Examples

(…)

Almost sure version

(…)

References

category: probability

Created on July 15, 2024 at 16:13:57. See the history of this page for a list of all contributions to it.