Random stable laminations of the disk

DOI10.1214/12-AOP799zbMath1304.60094arXiv1106.0271OpenAlexW3105354657MaRDI QIDQ2447339

Igor Kortchemski

Publication date: 25 April 2014

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

Full work available at URL: https://arxiv.org/abs/1106.0271

zbMATH Keywords

Hausdorff dimensionGalton-Watson treestable processBrownian triangulationrandom dissection

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Stable stochastic processes (60G52) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (15)

Dissecting the circle, at random ⋮ Convergence of uniform noncrossing partitions toward the Brownian triangulation ⋮ Random stable-type minimal factorizations of the n-cycle ⋮ The CRT is the scaling limit of random dissections ⋮ Random non-crossing plane configurations: A conditioned Galton-Watson tree approach ⋮ Gromov-Hausdorff-Prokhorov convergence of vertex cut-trees of \(n\)-leaf Galton-Watson trees ⋮ Limits of random tree-like discrete structures ⋮ Simply Generated Non-Crossing Partitions ⋮ Invariance principles for Galton-Watson trees conditioned on the number of leaves ⋮ On the number of large triangles in the Brownian triangulation and fragmentation processes ⋮ A geometric representation of fragmentation processes on stable trees ⋮ The geometry of random minimal factorizations of a long cycle via biconditioned bitype random trees ⋮ Vertices with fixed outdegrees in large Galton-Watson trees ⋮ The dual tree of a recursive triangulation of the disk ⋮ Random generation and scaling limits of fixed genus factorizations into transpositions

Cites Work

• Invariance principles for Galton-Watson trees conditioned on the number of leaves
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• Random trees and applications
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• A limit theorem for the contour process of conditioned Galton-Watson trees
• Probabilistic and fractal aspects of Lévy trees
• The distribution of the maximum vertex degree in random planar maps
• Random non-crossing plane configurations: A conditioned Galton-Watson tree approach
• Triangulating the Circle, at Random
• Probability
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