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- W1997074096 abstract "Let (S, σ) be a transitive locally compact countable state Markov shift. If (Ŝ, σ ^ ) is some compact metric dynamical system (‘cmds’) that contains (S, σ) as a dense subsystem then the space S* = Ŝ − S together with the homeomorphism σ * = σ ^ | S * will be called a boundary for (S, σ). Any cmds (X, T) is shown to be a boundary for some transitive locally compact countable state Markov shift (Theorem A). We define a new canonical compactification whose boundary is a conjugacy invariant that distinguishes Markov shifts according to their behaviour ‘at infinity’ (Theorem B). This boundary, together with a periodic point condition, will be used to characterize the set of all chain-recurrent boundaries of a given transitive locally compact countable state Markov shift (Theorems C, D)." @default.
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- W1997074096 date "1995-05-01" @default.
- W1997074096 modified "2023-09-27" @default.
- W1997074096 title "Topological Boundaries for Countable State Markov Shifts" @default.
- W1997074096 doi "https://doi.org/10.1112/plms/s3-70.3.625" @default.
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