Ergodic Properties in Quantum Systems
W. Thirring (1992)
Recherche Coopérative sur Programme n°25
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W. Thirring (1992)
Recherche Coopérative sur Programme n°25
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Carlo Pandiscia (2014)
Confluentes Mathematici
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Using the Nagy dilation of linear contractions on Hilbert space and the Stinespring’s theorem for completely positive maps, we prove that any quantum dynamical system admits a dilation in the sense of Muhly and Solel which satisfies the same ergodic properties of the original quantum dynamical system.
V. Buonomano (1978)
Annales de l'I.H.P. Physique théorique
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S. Doplicher, D. Kastler (1968)
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Steven Zelditch (1994-1995)
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Krystyna Parczyk (1989)
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Klimek, Slawomir (2004)
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Nishishiraho, Toshihiko (1998)
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Donald S. Ornstein (1975)
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A. Al-Hussaini (1974)
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Burkhard Kümmerer (1978)
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Zbigniew S. Kowalski (1984)
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Roland Zweimüller (2004)
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We present a very quick and easy proof of the classical Stepanov-Hopf ratio ergodic theorem, deriving it from Birkhoff's ergodic theorem by a simple inducing argument.
Uwe Franz, Adam Skalski (2008)
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Recent results of M. Junge and Q. Xu on the ergodic properties of the averages of kernels in noncommutative -spaces are applied to the analysis of almost uniform convergence of operators induced by convolutions on compact quantum groups.
Teresa Bermúdez, Manuel González, Mostafa Mbekhta (2000)
Studia Mathematica
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We prove that if some power of an operator is ergodic, then the operator itself is ergodic. The converse is not true.
J. Woś (1987)
Colloquium Mathematicae
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Janusz Woś (1987)
Colloquium Mathematicae
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