14 citations · 39 across the 27 of their papers we have counts for
5 papers · 1 filter
Restriction of 3D arithmetic Laplace eigenfunctions to a plane
Riccardo Walter Maffucci
We consider a random Gaussian ensemble of Laplace eigenfunctions on the 3D torus, and investigate the 1-dimensional Hausdorff measure (`length') of nodal intersections against a sm…
Nodal intersections for arithmetic random waves against a surface
Riccardo Walter Maffucci
Given the ensemble of random Gaussian Laplace eigenfunctions on the three-dimensional torus (`3d arithmetic random waves'), we investigate the -dimensional Hausdorff measure of…
Random waves on : nodal area variance and lattice point correlations
Jacques Benatar, Riccardo W. Maffucci
We consider the ensemble of random Gaussian Laplace eigenfunctions on (` arithmetic random waves'), and study the distribution of their…
Nodal intersections for random waves against a segment on the 3-dimensional torus
Riccardo Walter Maffucci
We consider random Gaussian eigenfunctions of the Laplacian on the three-dimensional flat torus, and investigate the number of nodal intersections against a straight line segment.…
Nodal intersections of random eigenfunctions against a segment on the 2-dimensional torus
Riccardo Walter Maffucci
We consider random Gaussian eigenfunctions of the Laplacian on the standard torus, and investigate the number of nodal intersections against a line segment. The expected intersecti…