2002/07/31 by Omer Angel, Oded Schramm · 1 citation
Mathematics · Physics and Astronomy · #Complex system #Limit (mathematics) #Measure (data warehouse) #Planar #Point processes and geometric inequalities #Probability measure #Random Matrices and Applications #Stochastic processes and statistical mechanics #Uniform boundedness #Uniform limit theorem #math-ph #math.MP #math.PR #msc:05C30 #msc:05C80 #msc:60C05 #msc:81T40
paper · pdf · doi:10.1007/s00220-003-0932-3
published as Comm.Math.Phys.241:191-213,2003 · 36 pages, 4 figures; Journal revised version
arxiv created 2003/03/04 · openalex publication_date 2003/09/19 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.