The Ergodic Hierarchy

[Revised entry by Roman Frigg, Joseph Berkovitz, and Fred Kronz on May 23, 2016. Changes to: Main text, Bibliography, notes.html] The Ergodic Hierarchy (EH) is a central part of ergodic theory. It
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[Revised entry by Roman Frigg, Joseph Berkovitz, and Fred Kronz on May 23, 2016. Changes to: Main text, Bibliography, notes.html] The Ergodic Hierarchy (EH) is a central part of ergodic theory. It is a hierarchy of properties that dynamical systems can possess. Its five levels are egrodicity, weak mixing, strong mixing, Kolmogorov, and Bernoulli. Although EH is a mathematical theory, its concepts have been widely used in the foundations of statistical physics, accounts of randomness, and discussions about the nature of chaos. We introduce EH and discuss its applications in these fields....

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News source: Stanford Encyclopedia of Philosophy

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