Nodal intersections for arithmetic random waves against a surface (Q2330447)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nodal intersections for arithmetic random waves against a surface |
scientific article |
Statements
Nodal intersections for arithmetic random waves against a surface (English)
0 references
22 October 2019
0 references
The nodal set of a function is its zero-locus. In the paper, an ensemble of random Gaussian Laplace eigenfunctions on the three-dimensional torus is considered. The one-dimensional Hausdorff measure of the nodal intersection curve against a compact regular toral surface is studied. The leading asymptotic of the nodal intersection length variance is obtained against a surface of non-vanishing Gauss-Kronecker curvature.
0 references
nodal set
0 references
nodal intersections
0 references
Gaussian Laplace eigenfunction
0 references
Hausdorff measure
0 references
0 references
0 references
0 references
0 references
