Tid: 10 oktober 2016 kl 15.15-16.00.Seminarierummet 3721, Institutionen för matematik, KTH, Lindstedtsvägen 25, plan 7. Karta!
Föredragshållare: Kevin Schnelli (KTH)
Titel: Local law of addition of random matrices on optimal scale
Abstract Describing the eigenvalue distribution of the sum of two general Hermitian matrices is basic question going back to Weyl. If the matrices have high dimensionality and are in general position in the sense that one of them is conjugated by a random Haar unitary matrix, the eigenvalue distribution of the sum is given by the free additive convolution of the respective spectral distributions. This result was obtained by Voiculescu on the macroscopic scale. In this talk, I show that it holds on the microscopic scale all the way down to the eigenvalue spacing with an optimal error bound. Joint work with Zhigang Bao and Laszlo Erdos.
|Sidansvarig: Filip Lindskog