Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension d≥3
Author:
Affiliation:
1. Mathematics Department, Université de Genève
2. Institute of Mathematics, École Polytechnique Fédérale de Lausanne
3. Department of Mathematics, Imperial College London
4. Institut Fourier, Université Grenoble Alpes
Publisher
Institute of Mathematical Statistics
Subject
Statistics, Probability and Uncertainty,Statistics and Probability
Reference39 articles.
1. Sznitman, A.-S. (2010). Vacant set of random interlacements and percolation. Ann. of Math. (2) 171 2039–2087.
2. Azaïs, J.-M. and Wschebor, M. (2009). Level Sets and Extrema of Random Processes and Fields. Wiley, Hoboken, NJ.
3. WERNER, W. (2009). Lectures on two-dimensional critical percolation. In Statistical Mechanics. IAS/Park City Math. Ser. 16 297–360. Amer. Math. Soc., Providence, RI.
4. ADLER, R. J. (2010). The Geometry of Random Fields. Classics in Applied Mathematics 62. SIAM, Philadelphia, PA.
5. DREWITZ, A., PRÉVOST, A. and RODRIGUEZ, P.-F. (2018). The sign clusters of the massless Gaussian free field percolate on Zd, d≥3 (and more). Comm. Math. Phys. 362 513–546.
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