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The ergodic hierarchy

Frigg, Roman, 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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Abstract

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: http://plato.stanford.edu/
Additional Information: © 2011 The Authors
Divisions: Philosophy, Logic and Scientific Method
CPNSS
Centre for Analysis of Time Series
Subjects: B Philosophy. Psychology. Religion > B Philosophy (General)
Sets: Departments > Philosophy, Logic and Scientific Method
Research centres and groups > Centre for Philosophy of Natural and Social Science (CPNSS)
Research centres and groups > Centre for the Analysis of Time Series (CATS)
Date Deposited: 22 Apr 2013 08:28
Last Modified: 04 Jul 2020 23:21
URI: http://eprints.lse.ac.uk/id/eprint/49778

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