Local limit of labeled trees and expected volume growth in a random quadrangulation
| dc.creator | Chassaing, Philippe | |
| dc.creator | Durhuus, Bergfinnur | |
| dc.date | 2003-11-28 | |
| dc.date | 2006-06-29 | |
| dc.date.accessioned | 2026-07-07T06:35:50Z | |
| dc.date.available | 2026-07-07T06:35:50Z | |
| dc.description | Exploiting a bijective correspondence between planar quadrangulations and well-labeled trees, we define an ensemble of infinite surfaces as a limit of uniformly distributed ensembles of quadrangulations of fixed finite volume. The limit random surface can be described in terms of a birth and death process and a sequence of multitype Galton--Watson trees. As a consequence, we find that the expected volume of the ball of radius $r$ around a marked point in the limit random surface is $Θ(r^4)$. | |
| dc.description | Published at http://dx.doi.org/10.1214/009117905000000774 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/math/0311532 | |
| dc.identifier | http://arxiv.org/abs/math/0311532 | |
| dc.identifier | Annals of Probability 2006, Vol. 34, No. 3, 879-917 | |
| dc.identifier | doi:10.1214/009117905000000774 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99913 | |
| dc.subject | Probability | |
| dc.subject | Combinatorics | |
| dc.subject | 60C05 (Primary) 05C30, 05C05, 82B41 (Secondary) | |
| dc.title | Local limit of labeled trees and expected volume growth in a random quadrangulation | |
| dc.type | text |