The ubiquity of logarithmically correlated fields

id="offer-description" class="ecl-u-type-heading-2 ecl-u-mt-none ecl-u-mb-l">Offer Description In 2012 Fyodorov, Hiary, and Keating formulated a striking conjecture: the maxima of log-determinants of large random matrices behave like those of logarithmically correlated fields. Surprisingly, they conjectured that also the Riemann zeta function belongs to this log-correlated group. While there has been huge progress in proving this conjecture, most of the current results are for integrable models. The goal of this project is to establish new analytical techniques to show that this connection holds for a large class of random matrix models, and more. In general, the broad interest of our research group lies at the interface of mathematical physics and probability, with connections to quantum mechanics and potentially to theoretical machine learning. Where to apply Website https://pica.cineca.it/uniroma2/ . Requirements. Additional Information . Eligibility criteria. Eligible destination country/ies for fellows: . Italy. Eligibility of fellows: country/ies of residence: . OTHER. Eligibility of fellows: nationality/ies: . OTHER. Website for additional job details https://pica.cineca.it/uniroma2/. <h2