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)
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)
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Maurizia Rossi