A tale of large random matrices and logarithmically correlated fields (part 1)

Abstract: We will review recent results in random matrix theory, with a focus on spectral properties of large non-Hermitian matrices with independent, identically distributed entries. We will then discuss an intriguing connection of such matrices with the theory of logarithmically correlated fields and with the fluctuations of their extremes.

MathematicsPhysics

Audience: researchers in the topic

Probability, Statistical Mechanics and Quantum Fields