# Asymptotic distribution of Nodal Intersections for ARW against a Surface

@inproceedings{Maffucci2021AsymptoticDO, title={Asymptotic distribution of Nodal Intersections for ARW against a Surface}, author={Riccardo Walter Maffucci and Maurizia Rossi}, year={2021} }

We investigate Gaussian Laplacian eigenfunctions (Arithmetic Random Waves) on the three-dimensional standard flat torus, in particular the asymptotic distribution of the nodal intersection length against a fixed regular reference surface. Expectation and variance have been addressed by Maffucci (2019) who found that the expected length is proportional to the square root of the eigenvalue times the area of the surface, while the asymptotic variance only depends on the geometry of the surface…

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