The shrinking target property of irrational rotations

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Abstract

We investigate the recurrence property of irrational rotations. Let T be the rotation by an irrational on the unit circle. We show that for a fixed y This result is a metric inhomogeneous Diophantine approximation in an almost everywhere sense.

Original languageEnglish
Article number006
Pages (from-to)1637-1643
Number of pages7
JournalNonlinearity
Volume20
Issue number7
DOIs
StatePublished - 1 Jul 2007

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