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;...

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Bibliographic Details
Main Authors: Belyaev, D, Muirhead, S, Wigman, I
Format: Working paper
Language:English
Published: University of Oxford 2020

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