ISBN The Oxford Handbook of Random Matrix Theory book English Paperback

With a foreword by Freeman Dyson the handbook brings together leading mathematicians and physicists to offer a comprehensive overview of random matrix theory including a guide to new developments and the diverse range of applications of this approach. In part one all modern and classical techniques of solving random matrix models are explored including orthogonal polynomials exact replicas or supersymmetry. Further all main extensions of the classical Gaussian ensembles of Wigner and Dyson are introduced including sparse heavy tailed non-Hermitian or multi-matrix models. In the second and larger part all major applications are covered in disciplines ranging from physics and mathematics to biology and engineering. This includes standard fields such as number theory quantum chaos or quantum chromodynamics as well as recent developments such as partitions growth models knot theory wireless communication or bio-polymer folding. The handbook is suitable both for introducing novices to this area of research and as a main source of reference for active researchers in mathematics physics and engineering.