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ASYMPTOTIC CYCLES ON NON-COMPACT SPACES

Published online by Cambridge University Press:  01 May 1997

SOL SCHWARTZMAN
SOL SCHWARTZMAN
Affiliation:
Mathematics Department, University of Rhode Island, Kingston, RI 02881, USA
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Abstract

The notion of an asymptotic cycle is extended to flows on non-compact spaces, and it is proved that for a suitable class of flows on manifolds it is true that the set of points with asymptotic cycles defined has measure one with respect with every invariant probability measure.

Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 29 , Issue 3 , May 1997 , pp. 350 - 352
Copyright
© The London Mathematical Society 1997

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