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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Entropy increase as a consequence of measure invariance


Author: C. C. Brown
Journal: Proc. Amer. Math. Soc. 93 (1985), 448-450
MSC: Primary 28D20; Secondary 82A05
MathSciNet review: 774000
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Abstract: An inequality, used in statistical mechanics for proving that entropy does not decrease, is shown to hold for general $ \sigma $-finite measure spaces. We comment briefly on the corresponding Hilbert space result.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1985-0774000-8
PII: S 0002-9939(1985)0774000-8
Keywords: Entropy, measure preserving maps
Article copyright: © Copyright 1985 American Mathematical Society