Geodesic rays in the uniform infinite half-planar quadrangulation return to the boundary

zbMath1353.05111arXiv1605.04572MaRDI QIDQ2954461

Grégory Miermont, Erich Baur, Loïc Richier

Publication date: 13 January 2017

Full work available at URL: https://arxiv.org/abs/1605.04572

zbMATH Keywords

boundarygeodesic raysuniform infinite half-planar quadrangulation

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (2)

Uniform infinite half-planar quadrangulations with skewness ⋮ Simple peeling of planar maps with application to site percolation

Cites Work

• Planar maps and continued fractions
• Uniform infinite planar triangulations
• Planar maps as labeled mobiles
• Percolations on random maps. I: Half-plane models
• Local limit of labeled trees and expected volume growth in a random quadrangulation
• A view from infinity of the uniform infinite planar quadrangulation
• Uniform infinite planar quadrangulations with a boundary
• Geometry of the uniform infinite half‐planar quadrangulation
• Scaling limits of random trees and planar maps
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