Random recursive triangulations of the disk via fragmentation theory

DOI10.1214/10-AOP608zbMath1252.60016arXiv1006.0792MaRDI QIDQ653302

Jean-François Le Gall, Nicolas Curien

Publication date: 9 January 2012

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.0792

zbMATH Keywords

Hausdorff dimensiongeodesic laminationfragmentation processnoncrossing chordsrandom recursive constructiontriangulation of the disk

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random graphs (graph-theoretic aspects) (05C80) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (14)

Dissecting the circle, at random ⋮ The Markovian hyperbolic triangulation ⋮ Convergence of uniform noncrossing partitions toward the Brownian triangulation ⋮ Strong Convergence of Partial Match Queries in Random Quadtrees ⋮ The CRT is the scaling limit of random dissections ⋮ Random non-crossing plane configurations: A conditioned Galton-Watson tree approach ⋮ Random stable laminations of the disk ⋮ Partial match queries in two-dimensional quadtrees: a probabilistic approach ⋮ On the number of large triangles in the Brownian triangulation and fragmentation processes ⋮ Self-similar real trees defined as fixed points and their geometric properties ⋮ A geometric representation of fragmentation processes on stable trees ⋮ Spaces of algebraic measure trees and triangulations of the circle ⋮ The geometry of random minimal factorizations of a long cycle via biconditioned bitype random trees ⋮ The dual tree of a recursive triangulation of the disk

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