Joint scaling limit of site percolation on random triangulations in the metric and peanosphere sense

DOI10.1214/21-EJP659zbMath1479.60170arXiv1905.06757WikidataQ115374784 ScholiaQ115374784MaRDI QIDQ2042869

Xin Sun, Ewain Gwynne, Nina Holden

Publication date: 21 July 2021

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.06757

zbMATH Keywords

percolationSchramm-Loewner evolutionconformal loop ensembleBrownian mapLiouville quantum gravitymating of treespeanosphereuniform triangulationsCardy embedding

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Functional limit theorems; invariance principles (60F17) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)

Related Items (4)

Percolation on Triangulations: A Bijective Path to Liouville Quantum Gravity ⋮ On the geometry of uniform meandric systems ⋮ Nesting statistics in the \(O(n)\) loop model on random planar maps ⋮ What is a random surface?

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