arXiv Analytics

Sign in

arXiv:math/0207153 [math.PR]AbstractReferencesReviewsResources

Uniform Infinite Planar Triangulations

Omer Angel, Oded Schramm

Published 2002-07-18, updated 2003-03-04Version 3

The existence of the weak limit as n --> infinity of the uniform measure on rooted triangulations of the sphere with n vertices is proved. Some properties of the limit are studied. In particular, the limit is a probability measure on random triangulations of the plane.

Comments: 36 pages, 4 figures; Journal revised version
Journal: Comm.Math.Phys.241:191-213,2003
Categories: math.PR, math-ph, math.MP
Subjects: 60C05, 05C30, 05C80, 81T40
Related articles: Most relevant | Search more
arXiv:1307.6818 [math.PR] (Published 2013-07-25, updated 2014-08-19)
Percolation on random triangulations and stable looptrees
arXiv:1008.4321 [math.PR] (Published 2010-08-25, updated 2011-06-17)
The self-avoiding walk in a strip
arXiv:1110.3036 [math.PR] (Published 2011-10-13)
Equivalence of two orthogonalities between probability measures

Links

Toolbox