Simple conformal loop ensembles on Liouville quantum gravity

DOI10.1214/21-AOP1550zbMath1502.60068arXiv2002.05698OpenAlexW3006249358MaRDI QIDQ2135396

Jason Miller, Wendelin Werner, Scott Sheffield

Publication date: 6 May 2022

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

Full work available at URL: https://arxiv.org/abs/2002.05698

zbMATH Keywords

Schramm-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

Brownian half‐plane excursion and critical Liouville quantum gravity ⋮ Conformal welding of quantum disks ⋮ Self-similar signed growth-fragmentations ⋮ The trunks of \(\mathrm{CLE}(4)\) explorations ⋮ Integrability of SLE via conformal welding of random surfaces ⋮ Ising model on random triangulations of the disk: phase transition ⋮ CLE PERCOLATIONS

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