Uniform infinite planar triangulation and related time-reversed critical branching process

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dc.creatorKrikun, Maxim
dc.date2003-11-09
dc.date.accessioned2026-07-07T06:23:45Z
dc.date.available2026-07-07T06:23:45Z
dc.descriptionWe establish a connection between the uniform infinite planar triangulation and some critical time-reversed branching process. This allows to find a scaling limit for the principal boundary component of a ball of radius R for large R (i.e. for a boundary component separating the ball from infinity). We show also that outside of R-ball a contour exists that has length linear in R.
dc.description27 pages, 5 figures, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0311127
dc.identifierhttp://arxiv.org/abs/math/0311127
dc.identifierJournal of Mathematical Sciences, vol 131, no 2, 2005, pp 5520-5537
dc.identifierdoi:10.1007/s10958-005-0424-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96348
dc.subjectProbability
dc.subjectCombinatorics
dc.subject60C05; 60J80 (Primary); 05C30; 05C80 (Secondary)
dc.titleUniform infinite planar triangulation and related time-reversed critical branching process
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