On the subsystems of topological Markov chains
Let SA be an irreducible and aperiodic topological Markov chain. If SĀ is an irreducible and aperiodic topological Markov chain, whose topological entropy is less than that of SA, then there exists an irreducible and aperiodic topological Markov chain, whose topological entropy equals the topologic...
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
01 September 2008
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| In: |
Ergodic theory and dynamical systems
Year: 1982, Volume: 2, Issue: 2, Pages: 195-202 |
| ISSN: | 1469-4417 |
| DOI: | 10.1017/S0143385700001516 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1017/S0143385700001516 Verlag, Volltext: https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/on-the-subsystems-of-topological-markov-chains/1A63D60F432986459082642274B03DB3 
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| Author Notes: | Wolfgang Krieger |
| Summary: | Let SA be an irreducible and aperiodic topological Markov chain. If SĀ is an irreducible and aperiodic topological Markov chain, whose topological entropy is less than that of SA, then there exists an irreducible and aperiodic topological Markov chain, whose topological entropy equals the topological entropy at SĀ, and that is a subsystem of SA. If S is an expansive homeomorphism of the Cantor discontinuum, whose topological entropy is less than that of SA, and such that for every j∈ℕ the number of periodic points of least period j of S is less than or equal to the number of periodic points of least period j of SA, then S is topological conjugate to a subsystem of SA. |
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| Item Description: | Published online: 01 September 2008 Gesehen am 15.06.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1469-4417 |
| DOI: | 10.1017/S0143385700001516 |