Uniform Infinite Planar Triangulations
classification
🧮 math.PR
math-phmath.MP
keywords
limittriangulationsmeasureuniformexistenceinfiniteinfinityparticular
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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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