Intermediate and small scale limiting theorems for random fields

In this paper we study the nodal lines of random eigenfunctions of the Laplacian on the torus, the so-called ‘arithmetic waves’. To be more precise, we study the number of intersections of the nodal line with a straight interval in a given direction. We are interested in how this number depends on t...

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Hlavní autoři: Beliaev, D, Maffucci, RW
Médium: Journal article
Jazyk:English
Vydáno: International Press 2022