nLab ergodic decomposition theorem

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

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Examples

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Almost sure version

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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.