On one property of distances in the infinite random quadrangulation

Abstract

We show that the Schaeffer's tree for an infinite quadrangulation only changes locally when changing the root of the quadrangulation. This follows from one property of distances in the infinite uniform random quadrangulation.

References in corpus (3)

• The topological structure of scaling limits of large planar maps
• Local limit of labeled trees and expected volume growth in a random quadrangulation
• Geodesics in large planar maps and in the Brownian map