Canonical compactifications for Markov shifts

Canonical compactifications for Markov shifts

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...

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Veröffentlicht in:Ergodic theory and dynamical systems 2013-04, Vol.33 (2), p.441-454
1. Verfasser: FIEBIG, DORIS
Format: Artikel
Sprache:eng
Schlagworte:
Boundaries
Conjugates
Dynamical systems
Dynamics
Ergodic processes
Markov processes
Mathematics
Theorems
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Zusammenfassung: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.
ISSN:0143-3857
1469-4417
DOI:10.1017/S0143385711001064