DACO seminar

Modal title

Modal content

Please subscribe here if you would you like to be notified about these events via e-mail. Moreover you can also subscribe to the iCal/ics Calender.

Date / Time

Speaker

Title

Location

20 March 2025
14:15-15:15

Dr. Léo Mathis
Goethe University Frankfurt, DE

Details

Title	Title: Non centered Gaussian determinants with Gaussian zonoids
Speaker, Affiliation	Dr. Léo Mathis, Goethe University Frankfurt, DE
Date, Time	20 March 2025, 14:15-15:15
Location	HG G 19.1
Abstract	A Theorem of Vitale, Molchanov and Wespi, states that the expected absolute determinant of a random matrix with independent columns is equal to the mixed volume of some convex bodies called zonoids. In the case where the columns of the matrix are centered Gaussian, the corresponding zonoids are ellipsoids and this was studied by Kabluchko and Zaporozhets. The case of non centered Gaussian vectors, however, remains relatively unstudied. The convex bodies we obtain in this case, which I call Gaussian zonoids, are not ellipsoids. In this talk, I will show you what a Gaussian zonoid looks like and how one can approximate it with an ellipsoid. At the level of random determinants, this allows to approximate expectation of non centered Gaussian determinants with centered ones. If time allows, I will show how this applies to Gaussian random fields. Namely, I will show how one can give a quantitative estimate of the concentration of a small Gaussian perturbation of a hypersurface.

Title: Non centered Gaussian determinants with Gaussian zonoidsread_more

Notes: the highlighted event marks the next occurring event.

Archive: SS 25 AS 24 SS 24 AS 23 SS 23 AS 22 SS 22 AS 21 SS 21 AS 20 SS 20