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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…