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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Real prime flows


Authors: H. B. Keynes and D. Newton
Journal: Trans. Amer. Math. Soc. 217 (1976), 237-255
MSC: Primary 54H20
DOI: https://doi.org/10.1090/S0002-9947-1976-0400189-5
MathSciNet review: 0400189
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Abstract: In this paper, we construct examples of real-type prime flows and study these examples in detail. General properties of prime flows are studied, with emphasis on proximality conditions and properties of automorphisms. Examples of prime flows which are not POD are shown to exist, and results analogous to number-theoretic properties, such as a ``unique factorisation'' theorem, are shown to hold for prime flows.


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DOI: https://doi.org/10.1090/S0002-9947-1976-0400189-5
Keywords: Topological dynamics, minimal sets, real-time flows, unique ergodicity, prime flows
Article copyright: © Copyright 1976 American Mathematical Society