Non-Hermitean Random Matrices: 50 Years After Ginibre
Non-Hermitean random matrices introduced by Jean Ginibre nearly half a century ago have made a long way from oblivion to a flourishing research field. Born out of mathematical curiosity and lacking immediate applications at the time, non-Hermitean random matrix models have appeared in various disciplines and systems – quantum chaology and mathematical statistics, statistical and condensed matter physics, quantum chromodynamics and the theory of random functions – continuing to challenge both mathematical and theoretical physicists.
The purpose of this workshop, devoted to the 50th anniversary of Ginibre's influential paper on the Statistical Ensembles of Complex, Quaternion, and Real Matrices [J. Math. Phys. 6, 440 (1965)], is to convene leading researchers from both the mathematics- and physics-oriented parts of the multifaceted random-matrix-theory community to discuss the latest developments in non-Hermitean random matrix theory and closely related fields.
The workshop topics include (but are not restricted to)
(i) Mathematical aspects of Ginibre's ensembles (spectral fluctuations and universality, Brownian motion, beta-ensembles, integrability)
(ii) Non-Hermitean matrix models beyond Ginibre's class and random analytic functions (truncated matrices, matrix products, Euclidean random matrices, random polynomials)
(iii) Non-Hermitean matrix models in high-energy, condensed matter and statistical physics