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- W2889132594 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." @default.
- W2889132594 created "2018-09-07" @default.
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- W2889132594 date "2018-08-29" @default.
- W2889132594 modified "2023-09-27" @default.
- W2889132594 title "Multi-rotations on the unit circle" @default.
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