A stochastic analogue of a theorem of Boyle's on almost flow equivalence
1993 ◽
Vol 13
(3)
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pp. 417-444
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Keyword(s):
Axiom A
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AbstractWe study a new topological classification of suspension flows on subshifts of finite type, and obtain a new proof of a theorem of Boyle's which states that, in an appropriate sense, all such flows are alike. We prove that the stochastic version of this classification is non-trivial by exhibiting a certain invariant, and show that this invariant is complete in a particular case, although not in general. Symbolic flows are important as models of basic sets of Axiom A flows, and so we discuss the significance of our results for this latter type of flow.
1984 ◽
Vol 4
(1)
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pp. 53-66
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Keyword(s):
1985 ◽
Vol 5
(4)
◽
pp. 485-500
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