Some convexity and subadditivity properties of entropy
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- by Elliott H. Lieb PDF
- Bull. Amer. Math. Soc. 81 (1975), 1-13
References
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1. L. Boltzmann, Ueber die Beziehung zwischen dem zweiten Hauptsatz der mechanischen Waermetheorie und der Wahrscheinlichkeitsrechnung respektive den Saetzen ueber das Waermegleichgewicht, Wiener Berichte 76 (1877), 373.
- A. N. Kolmogorov, A new metric invariant of transient dynamical systems and automorphisms in Lebesgue spaces, Dokl. Akad. Nauk SSSR (N.S.) 119 (1958), 861–864 (Russian). MR 0103254
- Elliott H. Lieb and Mary Beth Ruskai, A fundamental property of quantum-mechanical entropy, Phys. Rev. Lett. 30 (1973), 434–436. MR 373508, DOI 10.1103/PhysRevLett.30.434
- Elliott H. Lieb, Convex trace functions and the Wigner-Yanase-Dyson conjecture, Advances in Math. 11 (1973), 267–288. MR 332080, DOI 10.1016/0001-8708(73)90011-X
- Elliott H. Lieb and Mary Beth Ruskai, Proof of the strong subadditivity of quantum-mechanical entropy, J. Mathematical Phys. 14 (1973), 1938–1941. With an appendix by B. Simon. MR 345558, DOI 10.1063/1.1666274
- Huzihiro Araki and Elliott H. Lieb, Entropy inequalities, Comm. Math. Phys. 18 (1970), 160–170. MR 266563, DOI 10.1007/BF01646092
Additional Information
- Journal: Bull. Amer. Math. Soc. 81 (1975), 1-13
- MSC (1970): Primary 80A10, 81A81, 82A05, 82A15, 94A15; Secondary 15A45, 28A35, 28A65, 47A99
- DOI: https://doi.org/10.1090/S0002-9904-1975-13621-4
- MathSciNet review: 0356797