Percolation of arbitrary words in one dimension

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dc.creatorGrimmett, Geoffrey R.
dc.creatorLiggett, Thomas M.
dc.creatorRichthammer, Thomas
dc.date2008-07-10
dc.date.accessioned2026-07-07T09:49:37Z
dc.date.available2026-07-07T09:49:37Z
dc.descriptionWe consider a type of long-range percolation problem on the positive integers, motivated by earlier work of others on the appearance of (in)finite words within a site percolation model. The main issue is whether a given infinite binary word appears within an iid Bernoulli sequence at locations that satisfy certain constraints. We settle the issue in some cases, and provide partial results in others.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0807.1676
dc.identifierhttp://arxiv.org/abs/0807.1676
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164654
dc.subjectProbability
dc.subject60K35
dc.titlePercolation of arbitrary words in one dimension
dc.typetext

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