2 papers
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.PR2022
On the universality of the Nazarov-Sodin constant
Andrea Sartori
We study the number of connected components of non-Gaussian random spherical harmonics on the two dimensional sphere . We prove that the expectation of the nodal doma…