An Application of Topological Multiple Recurrence to Tiling

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dc.creatorde la Llave, Rafael
dc.creatorWindsor, Alistair
dc.date2008-09-08
dc.date.accessioned2026-07-07T10:01:28Z
dc.date.available2026-07-07T10:01:28Z
dc.descriptionWe show that given any tiling of Euclidean space, any geometric patterns of points, we can find a patch of tiles (of arbitrarily large size) so that copies of this patch appear in the tiling nearly centered on a scaled and translated version of the pattern. The rather simple proof uses Furstenberg's topological multiple recurrence theorem.
dc.identifierhttps://arxiv.org/abs/0809.1421
dc.identifierhttp://arxiv.org/abs/0809.1421
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168638
dc.subjectDynamical Systems
dc.titleAn Application of Topological Multiple Recurrence to Tiling
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