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Uniform Infinite Planar Triangulations

Omer Angel·Oded Schramm
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Abstract

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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Omer Angel, Oded Schramm. 2003-03-04. Uniform Infinite Planar Triangulations. https://doi.org/10.1007/s00220-003-0932-3

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