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On classification of linear cocycles over ergodic automorphisms

M. E. Lipatov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We classify complex linear cocycles over ergodic automorphisms with the help of the barycenter method. A conjugating random matrix is built in explicit form.

Key words: linear cocycles, classification, barycenter.

UDC: 519.21

Received: 12.03.2012

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2013, 68:2, 104–106

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