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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
Scars in random waves and the FGF 1/2 universality class
Louis Gass, Giovanni Peccati, Michele Stecconi
We study the large-domain asymptotics of geometric observables in Berry's random wave model on . We show that, in sharp contrast with the behavior of stationary rando…