First passage sets of the 2D continuum Gaussian free field

DOI10.1007/s00440-019-00941-1zbMath1462.60043arXiv1706.07737OpenAlexW3105020674WikidataQ127319015 ScholiaQ127319015MaRDI QIDQ2174672

Juhan Aru, Avelio Sepúlveda, Titus Lupu

Publication date: 21 April 2020

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

Full work available at URL: https://arxiv.org/abs/1706.07737

zbMATH Keywords

Gaussian free fieldGaussian multiplicative chaosSchramm-Loewner evolutiontwo-valued local setsfirst passage setslocal set

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) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)

Related Items (12)

Extremal distance and conformal radius of a \(\mathrm{CLE}_4\) loop ⋮ First passage sets of the 2D continuum Gaussian free field ⋮ The first passage sets of the 2D Gaussian free field: convergence and isomorphisms ⋮ Liouville measure as a multiplicative cascade via level sets of the Gaussian free field ⋮ Equivalence of Liouville measure and Gaussian free field ⋮ The trunks of \(\mathrm{CLE}(4)\) explorations ⋮ Statistical reconstruction of the GFF and KT transition ⋮ The law of a point process of Brownian excursions in a domain is determined by the law of its trace ⋮ ON BOUNDED-TYPE THIN LOCAL SETS OF THE TWO-DIMENSIONAL GAUSSIAN FREE FIELD ⋮ On clusters of Brownian loops in \(d\) dimensions ⋮ Percolation for level-sets of Gaussian free fields on metric graphs ⋮ On thin local sets of the Gaussian free field

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