Sets that force recurrence
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- by Alexander Blokh and Adam Fieldsteel PDF
- Proc. Amer. Math. Soc. 130 (2002), 3571-3578 Request permission
Abstract:
We characterize those subsets $S$ of the positive integers with the property that, whenever a point $x$ in a dynamical system enters a compact set $K$ along $S$, $K$ contains a recurrent point. We do the same for uniform recurrence.References
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Additional Information
- Alexander Blokh
- Affiliation: Department of Mathematics, University of Alabama at Birmingham, UAB Station, Birmingham, Alabama 35294-2060
- MR Author ID: 196866
- Email: ablokh@vorteb.math.uab.edu
- Adam Fieldsteel
- Affiliation: Department of Mathematics, Wesleyan University, Middletown, Connecticut 06459
- Email: afieldsteel@wesleyan.edu
- Received by editor(s): November 30, 2000
- Published electronically: July 15, 2002
- Additional Notes: The first author was partially supported by NSF grant DMS-9970363
- Communicated by: Michael Handel
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 3571-3578
- MSC (2000): Primary 37B20
- DOI: https://doi.org/10.1090/S0002-9939-02-06349-9
- MathSciNet review: 1920036