The Z^d Alpern multi-tower theorem for rectangles: a tiling approach

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dc.creatorSahin, Ayse A.
dc.date2008-01-18
dc.date.accessioned2026-07-07T08:55:23Z
dc.date.available2026-07-07T08:55:23Z
dc.descriptionWe provide a proof of the Alpern multi-tower theorem for Z^d actions. We reformulate the theorem as a problem of measurably tiling orbits of a Z^d action by a collection of rectangles whose corresponding sides have no non-trivial common divisors. We associate to such a collection of rectangles a special family of generalized domino tilings. We then identify an intrinsic dynamic property of these tilings, viewed as symbolic dynamical systems, which allows for a multi-tower decomposition.
dc.description14 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0801.2958
dc.identifierhttp://arxiv.org/abs/0801.2958
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146257
dc.subjectDynamical Systems
dc.subject37A15,37B50
dc.titleThe Z^d Alpern multi-tower theorem for rectangles: a tiling approach
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