Russo-Seymour-Welsh estimates for the Kostlan ensemble of random polynomials
We study the percolation properties of the nodal structures of random fields. Lower bounds on crossing probabilities (RSW-type estimates) of quads by nodal domains or nodal sets of Gaussian ensembles of smooth random functions are established under the following assumptions: (i) sufficient symmetry;...
Main Authors: | Belyaev, D, Muirhead, S, Wigman, I |
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Format: | Working paper |
Language: | English |
Published: |
University of Oxford
2020
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