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Canonical compactifications for Markov shifts

Published online by Cambridge University Press:  08 February 2012

DORIS FIEBIG
DORIS FIEBIG*
Affiliation:
Universität Kassel, Fachbereich 10, Mathematik und Naturwissenschaften, Institut für Mathematik, D-34109 Kassel, Germany (email: [email protected])
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Abstract

We give a complete characterization of the compact metric dynamical systems that appear as boundaries of the canonical compactification of a locally compact countable state mixing Markov shift. Consider such a compact metric dynamical system. Then there is a pair of non-conjugate Markov shifts with conjugate canonical compactifications, one of which has the given compact system as canonical boundary.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 33 , Issue 2 , April 2013 , pp. 441 - 454
Copyright
©2012 Cambridge University Press

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