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20182023
most citedNodal set of monochromatic waves satisfying the Random Wave Model

3 citations · 5 across the 8 of their papers we have counts for

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math.AP2020★ 3 cited

Nodal set of monochromatic waves satisfying the Random Wave Model

Álvaro Romaniega, Andrea Sartori

We construct deterministic solutions to the Helmholtz equation in which behave accordingly to the Random Wave Model. We then find the number of their nodal domains,…

math.NT2020

Spectral quasi correlations and phase-transitions for the nodal length of Arithmetic Random Waves

Andrea Sartori

Spectral quasi correlations are small sums of lattice points lying on the same circle; we show that, for generic integers representable as the sum of two squares, there are no spec…