Uniform Infinite Planar Triangulations

@article{Angel2002UniformIP,
  title={Uniform Infinite Planar Triangulations},
  author={Omer Angel and Oded Schramm},
  journal={Communications in Mathematical Physics},
  year={2002},
  volume={241},
  pages={191-213}
}
The existence of the weak limit as n→∞ 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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