Non-simple conformal loop ensembles on Liouville quantum gravity and the law of CLE percolation interfaces

DOI10.1007/s00440-021-01070-4zbMath1477.60125arXiv2006.14605OpenAlexW3174102001MaRDI QIDQ2052712

Jason Miller, Scott Sheffield, Wendelin Werner

Publication date: 26 November 2021

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.14605

zbMATH Keywords

percolationGaussian free fieldSchramm-Loewner evolutionsLiouville quantum gravityconformal loop ensemblesgrowth-fragmentation trees

Mathematics Subject Classification ID

Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Critical phenomena in equilibrium statistical mechanics (82B27) Stable stochastic processes (60G52) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)

Related Items (5)

Simple conformal loop ensembles on Liouville quantum gravity ⋮ Brownian half‐plane excursion and critical Liouville quantum gravity ⋮ A growth-fragmentation model connected to the ricocheted stable process ⋮ The trunks of \(\mathrm{CLE}(4)\) explorations ⋮ What is a random surface?

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