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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Entropy increase as a consequence of measure invariance
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by C. C. Brown PDF
Proc. Amer. Math. Soc. 93 (1985), 448-450 Request permission

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
  • © Copyright 1985 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 93 (1985), 448-450
  • MSC: Primary 28D20; Secondary 82A05
  • DOI: https://doi.org/10.1090/S0002-9939-1985-0774000-8
  • MathSciNet review: 774000