Why Gibbs phase averages work--the role of ergodic theory

Philosophy of Science 47 (3):339-349 (1980)
Abstract
We propose an "explanation scheme" for why the Gibbs phase average technique in classical equilibrium statistical mechanics works. Our account emphasizes the importance of the Khinchin-Lanford dispersion theorems. We suggest that ergodicity does play a role, but not the one usually assigned to it
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DOI 10.1086/288941
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What Are the New Implications of Chaos for Unpredictability?Charlotte Werndl - 2009 - British Journal for the Philosophy of Science 60 (1):195-220.
An Empirical Approach to Symmetry and Probability.Jill North - 2010 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 41 (1):27-40.
Justifying Typicality Measures of Boltzmannian Statistical Mechanics and Dynamical Systems.Charlotte Werndl - 2013 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (4):470-479.
Ergodic Theory, Interpretations of Probability and the Foundations of Statistical Mechanics.Janneke van Lith - 2001 - Studies in History and Philosophy of Modern Physics 32 (4):581--94.
Justifying Typicality Measures of Boltzmannian Statistical Mechanics and Dynamical Systems.Charlotte Werndl - 2013 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (4):470-479.

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