Ergodic properties of bogoliubov automorphisms in free probability

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Ergodic properties of bogoliubov automorphisms in free probability

We show that some C∗-dynamical systems obtained by free Fock quantization of classical ones, enjoy ergodic properties much stronger than their boson or fermion analogous. Namely, if the classical dynamical system (X, T, μ) is ergodic but not weakly mixing, then the resulting free quantized system (G...

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Bibliographic Details
Main Authors:	Fidaleo, Francesco, Mukhamedov, Farrukh
Format:	Article
Language:	English
Published:	World Scientific Publishing 2010
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/1597/ http://irep.iium.edu.my/1597/1/ffmf-idaqp%282010%29.pdf

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