*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.
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