3 citations · 5 across the 8 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.PR2021★ 1 cited
On the behavior of nodal lines near the boundary for Laplace eigenfunctions on the square
Oleksiy Klurman, Andrea Sartori
We are interested in the effect of Dirichlet boundary conditions on the nodal length of Laplace eigenfunctions. We study random Gaussian Laplace eigenfunctions on the two dimension…
math.PR2021
Expected nodal volume for non-Gaussian random band-limited functions
Zakhar Kabluchko, Andrea Sartori, Igor Wigman
The asymptotic law for the expected nodal volume of random non-Gaussian monochromatic band-limited functions is determined in vast generality. Our methods combine microlocal analyt…
math.SP2021
Asymptotic nodal length and log-integrability of toral eigenfunctions
Andrea Sartori
We study the nodal set of Laplace eigenfunctions on the flat torus . We prove an asymptotic law for the nodal length of such eigenfunctions, under some growth as…