Random cyclations

dc.creatorPippenger, Nicholas
dc.date2004-08-03
dc.date.accessioned2026-07-07T05:10:57Z
dc.date.available2026-07-07T05:10:57Z
dc.descriptionConsider n unit intervals, say [1,2], [3,4], ..., [2n-1,2n]. Identify their endpoints in pairs at random, with all (2n-1)!! = (2n-1) (2n-3) ... 3 1 pairings being equally likely. The result is a collection of cycles of various lengths, and we investigate the distribution of these lengths. The distribution is similar to that of the distribution of the lengths of cycles in a random permutation, but it also exhibits some striking differences.
dc.descriptioni+19 pp
dc.identifierhttps://arxiv.org/abs/math/0408031
dc.identifierhttp://arxiv.org/abs/math/0408031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72090
dc.subjectCombinatorics
dc.subject05A05
dc.titleRandom cyclations
dc.typetext

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