21. Jan 2021

On the operator norm of a random matrix with a polynomially decaying metric correlation structure

MATHPHYS ANALYSIS SEMINAR

Datum: 21. Januar 2021 | 16:15 – 17:15
Sprecher: Jana Reker, IST Austria
Veranstaltungsort: online via Zoom

In this talk, we consider a $N\timesN$ Hermitian random matrix with a polynomially decaying metric correlation structure. 

Trivial a priori bound shows that the operator norm of this model is stochastically dominated by $\sqrt{N}$. However, by calculating the trace of the moments of the matrix and using the summable decay of the cumulants, the estimate on the norm can be improved to a bound of order one. This is a rotation project with László Erdös.

Weitere Informationen:

Datum:
21. Januar 2021
16:15 – 17:15

Sprecher:
Jana Reker, IST Austria

Veranstaltungsort:
online via Zoom

Ansprechpartner:

Birgit Oosthuizen-Noczil

Email:
birgit.oosthuizen-noczil@ist.ac.at

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