Wednesday, Sep 16, 2:10-3:00pm, Joscha Henheik
17 views
Skip to first unread message
dda...@gmail.com
Oct 8, 2024, 9:12:30 AM10/8/24
to Toronto Probability Seminar
Dear all,
On Wednesday, October 16, at 2:10pm in Fields 309 we will have a seminar from Joscha Henheik, IST Austria. Please note the unusual date and time.
Look forward to seeing you there.
Duncan
Title: Zigzag strategy for random matrices
Abstract: It is a remarkable property of random matrices, that their resolvents tend to concentrate around a deterministic matrix as the dimension of the matrix tends to infinity, even for a small imaginary part of the involved spectral parameter.
These estimates are called local laws and they are the cornerstone in most of the recent results in random matrix theory. In this talk, I will present a novel method of proving single-resolvent and multi-resolvent local laws for random matrices, the Zigzag strategy, which is a recursive tandem of the characteristic flow method and a Green function comparison argument. Novel results, which we obtained via the Zigzag strategy, include the optimal Eigenstate Thermalization Hypothesis (ETH) for Wigner matrices, uniformly in the spectrum, and universality of eigenvalue statistics at cusp singularities for correlated random matrices. Based on joint works with G. Cipolloni, L. Erdös, O. Kolupaiev, and V. Riabov.
Abstract: It is a remarkable property of random matrices, that their resolvents tend to concentrate around a deterministic matrix as the dimension of the matrix tends to infinity, even for a small imaginary part of the involved spectral parameter.
These estimates are called local laws and they are the cornerstone in most of the recent results in random matrix theory. In this talk, I will present a novel method of proving single-resolvent and multi-resolvent local laws for random matrices, the Zigzag strategy, which is a recursive tandem of the characteristic flow method and a Green function comparison argument. Novel results, which we obtained via the Zigzag strategy, include the optimal Eigenstate Thermalization Hypothesis (ETH) for Wigner matrices, uniformly in the spectrum, and universality of eigenvalue statistics at cusp singularities for correlated random matrices. Based on joint works with G. Cipolloni, L. Erdös, O. Kolupaiev, and V. Riabov.
Reply all
Reply to author
Forward
0 new messages