3 papers
math.PR2026
Statistics on Yau's conjecture: Variance asymptotics
Michele Stecconi, Anna Paola Todino
We investigate the probabilistic counterpart of Yau's conjecture on the nodal volume of Laplace eigenfunctions on compact manifolds, by studying the high-frequency variance asympto…
math.PR2026
Berry-Heisenberg Random Waves
Marco Carfagnini, Anna Paola Todino
We construct a new family of random fields on the Heisenberg group , the sub-Riemannian analog of . These fields are generalized random eigenfunctions o…
math.PR2025
New chaos decomposition of Gaussian nodal volumes
Michele Stecconi, Anna Paola Todino
We investigate the random variable defined by the volume of the zero set of a smooth Gaussian field, on a general Riemannian manifold possibly with boundary, a fundamental object i…