ON THE GEOMETRY OF GAUSSIAN RANDOM FIELD ON COMPACT MANIFOLDS

Martedì 1 ottobre 2019 ore 9.30 sala 34 la prof.ssa Valentina Cammarota terrà un seminario dal titolo: ON THE GEOMETRY OF GAUSSIAN RANDOM FIELD ON COMPACT MANIFOLDS Abstract: We outline some recent results, obtained in a series of papers, concerning the geometrical properties of Gaussian Laplace eigenfunctions on compact manifolds. We will discuss in particular the following important geometric observables: critical points, nodal lines, level curves and excursion sets.  To obtain the said results we apply the Kac-Rice method for computing expectations and variances; the derivation of Central Limit Theorems rely on the Wiener chaos expansion of the geometrical functionals analysed. 
Relatore: 
Valentina Cammarota
Data: 
01/10/2019 - 09:30
Luogo: 
[Aula 34, IV piano facoltà scienze statistiche. Città universitaria. La Sapienza.]