EXPECTED MEAN WIDTH OF THE RANDOMIZED INTEGER CONVEX HULL

DC FieldValueLanguage
dc.contributor.authorNgoc, Binh Hong
dc.contributor.authorReitzner, Matthias
dc.date.accessioned2021-12-23T15:57:51Z-
dc.date.available2021-12-23T15:57:51Z-
dc.date.issued2021
dc.identifier.issn00255793
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/3178-
dc.description.abstractLet K subset of Rd be a convex body, and assume that L is a randomly rotated and shifted integer lattice. Let KL be the convex hull of the (random) points K boolean AND L. The mean width W(KL) of KL is investigated. The asymptotic order of the mean width difference W(lambda K)-W((lambda K)L) is maximized by the order obtained by polytopes and minimized by the order for smooth convex sets as lambda ->infinity.
dc.description.sponsorshipDFG Research Training Group `Combinatorial Structures in Geometry' [1916]; The authors gratefully acknowledge support from the DFG Research Training Group 1916 `Combinatorial Structures in Geometry'.
dc.language.isoen
dc.publisherWILEY
dc.relation.ispartofMATHEMATIKA
dc.subject52A20 (primary)
dc.subject52A27 (secondary)
dc.subject60C05
dc.subjectMathematics
dc.subjectMathematics, Applied
dc.titleEXPECTED MEAN WIDTH OF THE RANDOMIZED INTEGER CONVEX HULL
dc.typejournal article
dc.identifier.doi10.1112/mtk.12080
dc.identifier.isiISI:000636905200008
dc.description.volume67
dc.description.issue2
dc.description.startpage422
dc.description.endpage433
dc.identifier.eissn20417942
dc.publisher.place111 RIVER ST, HOBOKEN 07030-5774, NJ USA
dcterms.isPartOf.abbreviationMathematika
dcterms.oaStatusGreen Submitted, hybrid
crisitem.author.deptFB 06 - Mathematik/Informatik-
crisitem.author.deptidfb06-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidReMa759-
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