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The ergodic hierarchy

Frigg, Roman ORCID: 0000-0003-0812-0907, Berkovitz, Joseph and Kronz, Fred (2011) The ergodic hierarchy. In: Zalta, Edward N., (ed.) The Stanford Encyclopedia of Philosophy. Stanford University, Stanford, CA, USA.

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The so-called 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, Kolomogorov, 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.

Item Type: Book Section
Official URL:
Additional Information: © 2011 The Authors
Divisions: Philosophy, Logic and Scientific Method
Centre for Analysis of Time Series
Subjects: B Philosophy. Psychology. Religion > B Philosophy (General)
Date Deposited: 22 Apr 2013 08:28
Last Modified: 16 May 2024 05:28

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