Dear colleagues,
we are happy to announce the following online talk:
Speaker: Valentina Cammarota (Università di Roma La Sapienza)
Title: No repulsion between critical points for random plane wave and planar Gaussian random fields.
Abstract: Random plane wave is conjectured to be a universal model for high-energy eigenfunctions of the Laplace operator on generic compact Riemannian manifolds. This is known to be true on average. We discuss one of important geometric observable: critical points. We first compute one-point function for the critical point process, in particular we compute the expected number of critical points inside any open set. After that we compute the short-range asymptotic behaviour of the two-point function. This gives an unexpected result that the second factorial moment of the number of critical points in a small disc scales as the fourth power of the radius. Joint work with Dmitry Beliaev and Igor Wigman.
Date and time: Monday March 14, 17:30-18:30 (Rome time zone).
This is a talk of the
(PMS)^2: Pavia-Milano Seminar series on Probability and Mathematical Statistics organized jointly by the universities Milano-Bicocca, Pavia, Milano-Politecnico and Milano-Statale.
For more information see the dedicated webpage: https://paviamilanoseminars.wordpress.com/
Participation is free and welcome!
Best regards,
The organizers (Mario Maurelli, Carlo Orrieri, Maurizia Rossi, Margherita Zanella)
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Maurizia Rossi
Dipartimento di Matematica e Applicazioni
Università degli Studi di Milano-Bicocca