Modul: MAT971 Stochastische Prozesse

## On the maximum of two log-correlated fields: the logarithms of the characteristic polynomial of the Circular Beta Ensemble and the Riemann zeta function

Dr. Joseph Najnudel talk

Speaker invited by: Prof. Dr. Ashkan Nikeghbali

**Date:** 12.12.18 **Time:** 15.15 - 16.15 **Room:** ETH HG G 19.1

For different random fields whose correlation is logarithmic with respect to the distance between the points, we observe similar behavior for their extreme values, either proven or conjectured, depending on the model. In this talk, we present two different examples of such fields: the logarithm of the characteristic polynomial of the Circular Beta Ensemble (an ensemble of random unitary matrices generalizing the Circular Unitary Ensemble), and the logarithm of the Riemann zeta function, on a random interval of the critical line.