Une nouvelle définition de l'entropie dynamique des systèmes non commutatifs |
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Authors: | Jean-Luc Sauvageot Jean-Paul Thouvenot |
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Institution: | (1) Laboratoire de Probabilités, Université Pierre et Marie Curie, Tour 56, 4 place Jussieu, F-75252 Paris Cedex 05, France |
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Abstract: | An alternative definition of entropy for non-commutative systems, equivalent to the one by A. Connes, H. Narnhofer, and W. Thirring, is given. It is based on the concepts of conditional entropy, and stationary couplings with classical systems. It allows to prove that any quantum dynamical system with singular spectrum has zero entropy. |
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