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Autor:
Vernotte, David
This paper is devoted to the study of the large scale geometry of the excursion set and nodal set of a planar smooth Gaussian field at criticality $\ell=\ell_c=0$. We prove that there exists $s_1>1$ such that with high probability, macroscopic nodal
Externí odkaz:
http://arxiv.org/abs/2410.01453
Autor:
Vernotte, David
Our study concerns the large scale geometry of the excursion set of planar random fields: E ${\ell}$ = {x $\in$ R 2 |f (x) $\ge$-${\ell}$}, where ${\ell}$ $\in$ R is a real parameter and f is a continuous, stationary, centered, planar Gaussian field
Externí odkaz:
http://arxiv.org/abs/2312.14205