Extremal distance and conformal radius of a \(\mathrm{CLE}_4\) loop

DOI10.1214/21-AOP1538zbMath1486.31005arXiv2004.13570OpenAlexW3023611888MaRDI QIDQ2129692

Titus Lupu, Juhan Aru, Avelio Sepúlveda

Publication date: 22 April 2022

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

Full work available at URL: https://arxiv.org/abs/2004.13570

zbMATH Keywords

Gaussian free fieldmetric graphSchramm-Loewner evolutionconformal loop ensemble

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Brownian motion (60J65) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)

Related Items (4)

First passage sets of the 2D continuum Gaussian free field ⋮ Thick points of the planar GFF are totally disconnected for all \(\gamma \neq 0\) ⋮ Baxter permuton and Liouville quantum gravity ⋮ Integrability of SLE via conformal welding of random surfaces

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