The Markovian hyperbolic triangulation

DOI10.4171/JEMS/393zbMath1287.60017arXiv1105.5089OpenAlexW1965300862MaRDI QIDQ2375899

Nicolas Curien, Wendelin Werner

Publication date: 25 June 2013

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.5089

zbMATH Keywords

hyperbolic planerandom complete triangulation

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45)

Related Items (5)

Dissecting the circle, at random ⋮ 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 ⋮ The dual tree of a recursive triangulation of the disk

Cites Work

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• Random recursive triangulations of the disk via fragmentation theory
• Growth and percolation on the uniform infinite planar triangulation
• Scaling limits of loop-erased random walks and uniform spanning trees
• Rotation Distance, Triangulations, and Hyperbolic Geometry
• Triangulating the Circle, at Random
• Markov Processes, Brownian Motion, and Time Symmetry
• Values of Brownian intersection exponents. I: Half-plane exponents

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