Asymptotics for rooted planar maps and scaling limits of two-type spatial trees
| dc.creator | Weill, Mathilde | |
| dc.date | 2006-09-12 | |
| dc.date.accessioned | 2026-07-07T07:24:45Z | |
| dc.date.available | 2026-07-07T07:24:45Z | |
| dc.description | We prove some asymptotic results for the radius and the profile of large random bipartite planar maps. Using a bijection due to Bouttier, Di Francesco and Guitter between rooted bipartite planar maps and certain two-type trees with positive labels, we derive our results from a conditional limit theorem for two-type spatial trees. Finally we apply our estimates to separating vertices of bipartite planar maps: with probability close to one when $n$ goes to infinity, a random $2\ka$-angulation with $n$ faces has a separating vertex whose removal disconnects the map into two components each with size greater that $n^{1/2-\vep}$. | |
| dc.identifier | https://arxiv.org/abs/math/0609334 | |
| dc.identifier | http://arxiv.org/abs/math/0609334 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116486 | |
| dc.subject | Probability | |
| dc.subject | 60F17, 60J80, 05J30 | |
| dc.title | Asymptotics for rooted planar maps and scaling limits of two-type spatial trees | |
| dc.type | text |