arXiv:math/0612315 Abstract

arXiv:math/0612315 [math.PR]Abstract References Reviews Resources

Scaling limits of bipartite planar maps are homeomorphic to the 2-sphere

Published 2006-12-12, updated 2006-12-15Version 2

We prove that scaling limits of random planar maps which are uniformly distributed over the set of all rooted 2k-angulations are a.s. homeomorphic to the two-dimensional sphere. Our methods rely on the study of certain random geodesic laminations of the disk.

Comments: 22 pages Second version with minor typographical correction

Categories: math.PR, math.CO

Subjects: 60C05, 05C80

Keywords: bipartite planar maps, scaling limits, homeomorphic, random geodesic laminations, random planar maps

Related articles: Most relevant | Search more

arXiv:1802.01576 [math.PR] (Published 2018-02-05)

Duality of random planar maps via percolation

Nicolas Curien, Loïc Richier

arXiv:1212.5072 [math.PR] (Published 2012-12-20)

Scaling limits of random planar maps with a unique large face

Svante Janson, Sigurdur Orn Stefansson

arXiv:1506.08881 [math.PR] (Published 2015-06-29)