The Symbolic Dynamics of Tiling the Integers

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dc.creatorCoven, Ethan M.
dc.creatorGeller, William
dc.creatorSilberger, Sylvia
dc.creatorThurston, William P.
dc.date1998-10-05
dc.date.accessioned2026-07-07T05:26:18Z
dc.date.available2026-07-07T05:26:18Z
dc.descriptionA finite collection $P$ of finite sets tiles the integers iff the integers can be expressed as a disjoint union of translates of members of $P$. We associate with such a tiling a doubly infinite sequence with entries from $P$. The set of all such sequences is a sofic system, called a tiling system. We show that, up to powers of the shift, every shift of finite type can be realized as a tiling system.
dc.identifierhttps://arxiv.org/abs/math/9810024
dc.identifierhttp://arxiv.org/abs/math/9810024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77501
dc.subjectCombinatorics
dc.titleThe Symbolic Dynamics of Tiling the Integers
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