A dynamical system using the Voronoi tessellation

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dc.creatorFrank, Natalie Priebe
dc.creatorHart, Sean
dc.date2007-12-21
dc.date.accessioned2026-07-07T08:50:55Z
dc.date.available2026-07-07T08:50:55Z
dc.descriptionWe introduce a dynamical system based on the vertices of Voronoi tessellations. This dynamical system acts on finite or discrete point sets in the plane, taking a point set to the vertex set of its Voronoi tessellation. We explore the behavior of this system for small point sets, then prove a general result quantifying the growth of the sizes of the point sets under iteration. We conclude by giving the most interesting open problems.
dc.description13 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/0712.3736
dc.identifierhttp://arxiv.org/abs/0712.3736
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144763
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.subject37E99;52C20
dc.titleA dynamical system using the Voronoi tessellation
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