(PMS)^2 online talk: Valentina Cammarota
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)*. Zoom link: https://us02web.zoom.us/j/84185018822?pwd=UE80NXJ2Z01GaWN3aTduMGVpeG9EQT09 ID riunione: *841 8501 8822* Passcode: *713253* 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) -- Maurizia Rossi Dipartimento di Matematica e Applicazioni Università degli Studi di Milano-Bicocca https://mauriziarossi.wordpress.com
Dear colleagues, sorry for the inconvenience but for technical reasons we need to change the Zoom link for the talk by Valentina Cammarota: Date and Time: *Monday 14 March (Tomorrow), 17:30-18:30 (Rome time)* Zoom link: https://us02web.zoom.us/j/6815552946 Best regards, The organizers. ---------- Forwarded message --------- 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)*. Zoom link: https://us02web.zoom.us/j/84185018822?pwd=UE80NXJ2Z01GaWN3aTduMGVpeG9EQT09 ID riunione: *841 8501 8822* Passcode: *713253* 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) -- Maurizia Rossi Dipartimento di Matematica e Applicazioni Università degli Studi di Milano-Bicocca https://mauriziarossi.wordpress.com
participants (1)
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Maurizia Rossi