Random infinite squarings of rectangles

DOI10.1214/14-AIHP661zbMath1353.60010arXiv1405.2870OpenAlexW2962714479MaRDI QIDQ297439

Louigi Addario-Berry, Nicholas Leavitt

Publication date: 27 June 2016

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.2870

zbMATH Keywords

graph limitsrandom mapssquare tilings

Mathematics Subject Classification ID

Strong limit theorems (60F15) Combinatorial probability (60C05) Planar graphs; geometric and topological aspects of graph theory (05C10) Random walks on graphs (05C81)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniqueness and universality of the Brownian map
• The Brownian map is the scaling limit of uniform random plane quadrangulations
• Growing random 3-connected maps or \textit{Comment s'enfuir de l'hexagone}
• Liouville quantum gravity and KPZ
• On the sphericity of scaling limits of random planar quadrangulations
• Face sizes of 3-polytopes
• The extremal length of a network
• Square tilings with prescribed combinatorics
• Uniform infinite planar triangulations
• Recurrence of distributional limits of finite planar graphs
• Hyperbolic and parabolic packings
• Recurrence of planar graph limits
• On graph-like continua of finite length
• The topological structure of scaling limits of large planar maps
• A glimpse of the conformal structure of random planar maps
• Random walks and harmonic functions on infinite planar graphs using square tilings
• The dissection of rectangles into squares
• Probability on Trees and Networks
• Building uniformly random subtrees
• Random geometry on the sphere
• A Census of Planar Maps