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Multi-rotations on the unit circle
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dc.contributor.author | Yu, Han | |
dc.date.accessioned | 2020-01-17T00:34:51Z | |
dc.date.available | 2020-01-17T00:34:51Z | |
dc.date.issued | 2019-07 | |
dc.identifier | 257445163 | |
dc.identifier | d5182c30-f6af-40f2-a754-f9d8db8e0f8c | |
dc.identifier | 85060308010 | |
dc.identifier | 000462809100010 | |
dc.identifier.citation | Yu , H 2019 , ' Multi-rotations on the unit circle ' , Journal of Number Theory , vol. 200 , pp. 316-328 . https://doi.org/10.1016/j.jnt.2018.12.008 | en |
dc.identifier.issn | 0022-314X | |
dc.identifier.other | RIS: urn:97B3D4527456A1371C49BAF0DCE31B9F | |
dc.identifier.uri | https://hdl.handle.net/10023/19296 | |
dc.description | HY was financially supported by the University of St Andrews. | en |
dc.description.abstract | In this paper, we study multi-rotation orbits on the unit circle. We obtain a natural generalization of a classical result which says that orbits of irrational rotations on the unit circle are dense. It is possible to show that this result holds true if instead of iterating a single irrational rotation, one takes a multi-rotation orbit along a finitely recurrent sequence over finitely many different irrational rotations. We also discuss some connections between the box dimensions of multi-rotation orbits and Diophantine approximations. In particular, we improve a result by Feng and Xiong in the case when the rotation parameters are algebraic numbers. | |
dc.format.extent | 235149 | |
dc.language.iso | eng | |
dc.relation.ispartof | Journal of Number Theory | en |
dc.subject | Multi-rotation orbits | en |
dc.subject | αβ-sets | en |
dc.subject | Recurrent sequences | en |
dc.subject | Diophantine approximation on linear forms | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QA | en |
dc.title | Multi-rotations on the unit circle | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.identifier.doi | 10.1016/j.jnt.2018.12.008 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2020-01-17 | |
dc.identifier.url | https://arxiv.org/abs/1808.09911 | en |
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