5 citations · 6 across the 2 of their papers we have counts for
3 papers
math.PR2022★ 5 cited
Functional Convergence of Berry's Nodal Lengths: Approximate Tightness and Total Disorder
Massimo Notarnicola, Giovanni Peccati, Anna Vidotto
We consider Berry's random planar wave model (1977), and prove spatial functional limit theorems - in the high-energy limit - for discretized and truncated versions of the random f…
math.PR2021★ 1 cited
Matrix Hermite polynomials, Random determinants and the geometry of Gaussian fields
Massimo Notarnicola
We study generalized Hermite polynomials with rectangular matrix arguments arising in multivariate statistical analysis and the theory of zonal polynomials. We show that these are…
math.PR2020
Fluctuations of nodal sets on the 3-torus and general cancellation phenomena
Massimo Notarnicola
In 2017, Benatar and Maffucci arXiv:1708.07015 established an asymptotic law for the variance of the nodal surface of arithmetic random waves on the 3-torus in the high-energy limi…