Jan 21, 2021

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

MATHPHYS ANALYSIS SEMINAR

Date: January 21, 2021 | 4:15 pm – 5:15 pm
Speaker: Jana Reker, IST Austria
Location: 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.

More Information:

Date:
January 21, 2021
4:15 pm – 5:15 pm

Speaker:
Jana Reker, IST Austria

Location:
online via Zoom

Contact:

Birgit Oosthuizen-Noczil

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

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