A renormalization approach to irrational rotations

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dc.creatorBonanno, Claudio
dc.creatorIsola, Stefano
dc.date2007-07-31
dc.date.accessioned2026-07-07T08:21:41Z
dc.date.available2026-07-07T08:21:41Z
dc.descriptionWe introduce a renormalization procedure which allows us to study in a unified and concise way different properties of the irrational rotations on the unit circle $β\mapsto \set{α+β}$, $α\in \R\setminus \Q$. In particular we obtain sharp results for the diffusion of the walk on $\Z$ generated by the location of points of the sequence $\{nα+β\}$ on a binary partition of the unit interval. Finally we give some applications of our method.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/0708.0048
dc.identifierhttp://arxiv.org/abs/0708.0048
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135399
dc.subjectDynamical Systems
dc.subjectNumber Theory
dc.subject37E05, 37A25, 37A45
dc.titleA renormalization approach to irrational rotations
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