On circle rotations and the shrinking target properties

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dc.creatorTseng, Jimmy
dc.date2007-02-27
dc.date2007-10-09
dc.date.accessioned2026-07-07T08:34:50Z
dc.date.available2026-07-07T08:34:50Z
dc.descriptionWe generalize the monotone shrinking target property (MSTP) to the s-exponent monotone shrinking target property (sMSTP) and give a necessary and sufficient condition for a circle rotation to have sMSTP. Using another variant of MSTP, we obtain a new, very short, proof of a known result, which concerns the behavior of irrational rotations and implies a logarithm law similar to D. Sullivan's logarithm law for geodesics.
dc.description13 pages. A new section has been added. The rest of the paper remains the same except for some very minor revisions.
dc.identifierhttps://arxiv.org/abs/math/0702853
dc.identifierhttp://arxiv.org/abs/math/0702853
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139575
dc.subjectDynamical Systems
dc.subjectNumber Theory
dc.titleOn circle rotations and the shrinking target properties
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