Probability Seminar

Title: Fermionic eigenvector moment flow
Speaker: Lucas Benigni
Speaker Info: University of Chicago
Brief Description:
Special Note:

We first present known results and open problems on the study of eigenvector statistics of large random matrices such as complete delocalization, quantum unique ergodicity or asymptotic entry distribution. We willl see how we can obtain some of these properties dynamically using the Dyson Brownian motion and the Bourgade-Yau eigenvector moment flow: it consists of a parabolic equation followed by eigenvector moments. We will then present new moment observables which follow a similar equation and which can be seen as a Fermionic counterpart to the (Bosonic) original ones. By combining the information obtained through the study of these two families of observables, we can compute, previously intractable, correlations between eigenvectors.
Date: Tuesday, September 24, 2019
Time: 3:00PM
Where: Lunt 107
Contact Person: Julian Gold
Contact email:
Contact Phone:
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