Random matrices appear in various theoretical and practical fields, from quantum physics to applied finance. The spectrum of random matrices plays an important role in such areas, for instance by quantifying random energy levels or estimating covariance matrices. In the

In this talk we study the cover time, i.e. the duration to visit every site of a finite graph. In 2012, Ding et al. published an inspiring result that the asymptotics of the cover time can be estimated by the