Covering the plane by rotations of a lattice arrangement of disks

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dc.creatorIosevich, Alex
dc.creatorKolountzakis, Mihail N.
dc.creatorMatolcsi, Mate
dc.date2006-11-26
dc.date.accessioned2026-07-07T07:33:21Z
dc.date.available2026-07-07T07:33:21Z
dc.descriptionSuppose we put an $ε$-disk around each lattice point in the plane, and then we rotate this object around the origin for a set $Θ$ of angles. When do we cover the whole plane, except for a neighborhood of the origin? This is the problem we study in this paper. It is very easy to see that if $Θ= [0,2π]$ then we do indeed cover. The problem becomes more interesting if we try to achieve covering with a small closed set $Θ$.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0611800
dc.identifierhttp://arxiv.org/abs/math/0611800
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119428
dc.subjectClassical Analysis and ODEs
dc.subjectMetric Geometry
dc.titleCovering the plane by rotations of a lattice arrangement of disks
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