The two uniform infinite quadrangulations of the plane have the same law

Abstract

We prove that the uniform infinite random quadrangulations defined respectively by Chassaing-Durhuus and Krikun have the same distribution.

English version of arXiv:0805.4687, with various improvements

References in corpus (5)

• The topological structure of scaling limits of large planar maps
• Local limit of labeled trees and expected volume growth in a random quadrangulation
• Local structure of random quadrangulations
• Scaling of Percolation on Infinite Planar Maps, I
• Scaling limits of bipartite planar maps are homeomorphic to the 2-sphere

Cited by in corpus (7)

• Percolation on uniform infinite planar maps
• Basic properties of the infinite critical-FK random map
• Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves
• Plane bipolar orientations and quadrant walks
• Planarity and non-separating cycles in uniform high genus quadrangulations
• The generating function of planar Eulerian orientations
• Trees with power-like height dependent weight