Uniform Infinite Planar Triangulations

Details Uniform Infinite Planar Triangulations Uniform Infinite Planar Triangulations

2002-07-18

arxiv.org/abs/math/0207153v3

Comm.Math.Phys.241:191-213,2003

Mathematics

Probability

36 pages, 4 figures; Journal revised version

Scientific paper

10.1007/s00220-003-0932-3

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.

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