Thick points of the planar GFF are totally disconnected for all γ≠0

Author:

Aru Juhan1,Papon Léonie2,Powell Ellen2

Affiliation:

1. École Polytechnique Fédérale de Lausanne

2. Durham University

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference35 articles.

1. L.V. Ahlfors, Conformal invariants: Topics in geometric function theory, McGraw-Hill Series in Higher Mathematics, McGraw-Hill Book Co., New York-Düsseldorf-Johannesburg, 1973.

2. J. Aru, T. Lupu, and A. Sepúlveda, Extremal distance and conformal radius of a CLE4 loop, The Annals of Probability 50 (2022), no. 2, 509–558.

3. J. Aru and E. Powell, A characterisation of the continuum Gaussian free field in dimension d2, Journal de l’École polytechnique — Mathématiques 9 (2022), 1101–1120.

4. J. Aru and A. Sepúlveda, Two-valued local sets of the 2D continuum Gaussian free field: connectivity, labels, and induced metrics, Electronic Journal of Probability 23 (2018), 1–35.

5. J. Aru, A. Sepúlveda, and W. Werner, On bounded-type thin local sets of the two-dimensional Gaussian free field, Journal of the Institute of Mathematics of Jussieu 18 (2019), no. 3, 591–618.

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