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An Isaac Newton Institute Workshop

Matrix Ensembles and L-Functions

Testing random matrix theory vs the zeta zeros

Author: Persi Diaconis (Stanford)

Abstract

I will give a tutorial on methods of testing predictions of random matrix theory on data. There is some nice math (symmetric function theory) and some subtlety (the level repulsions lead to correlated data and need cutting edge tools such as the block bootstrap). This is joint work with Marc Coram.