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math.AP2023
Almost sharp lower bound for the nodal volume of harmonic functions
Alexander Logunov, Lakshmi Priya, Andrea Sartori
This paper focuses on a relation between the growth of harmonic functions and the Hausdorff measure of their zero sets. Let be a real-valued harmonic function in …
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,…