We determine the asymptotic law for the fluctuations of the total number of critical points of random Gaussian spherical harmonics in the high degree limit. Our results have implications on the sophistication degree of an appropriate percolation process for modelling nodal domains of eigenfunctions on generic compact surfaces or billiards.
Fluctuations of the Total Number of Critical Points of Random Spherical Harmonics / Cammarota, Valentina; Igor, Wigman. - In: STOCHASTIC PROCESSES AND THEIR APPLICATIONS. - ISSN 0304-4149. - STAMPA. - (2017), pp. 1-31. [10.1016/j.spa.2017.02.013]
Fluctuations of the Total Number of Critical Points of Random Spherical Harmonics
CAMMAROTA, VALENTINA
Membro del Collaboration Group
;
2017
Abstract
We determine the asymptotic law for the fluctuations of the total number of critical points of random Gaussian spherical harmonics in the high degree limit. Our results have implications on the sophistication degree of an appropriate percolation process for modelling nodal domains of eigenfunctions on generic compact surfaces or billiards.File allegati a questo prodotto
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