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On the local circular law for non-Hermitian random matrices and products of non-Hermitian matrices

Date
Thursday, March 30, 2017 16:00 - 16:45
Speaker
Alexander Tikhomirov (Komi SC of Ural Division of RAS, Russia)
Location
Seminar room Big Ground floor / Office Bldg West (I21.EG.101)
Series
Seminar/Talk
Tags
Mathematics and CS Seminar
Host
Laszlo Erdös
Contact
Lab building west seminar room

We prove a local version of the circular law for non-hermitian random matrices and products of independent non-Hermitian matrices under weak moment conditions. Our results generalise recent results of P. Bourgade, H.-T. Yau, J. Yin and Y. Nemish. We apply Stein's method and some new ideas which help to simplify the proof of the local laws. The talk will be based on joint results with F. Goetze and A. Naumov.


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