Charting an Inflationary Landscape with Random Matrix Theory

Charting the landscape of supercritical string theory.

Special solutions of string theory in supercritical dimensions can interpolate in time between theories with different numbers of spacetime dimensions and different amounts of world sheet supersymmetry. These solutions connect supercritical string theories to the more familiar string duality web in ten dimensions and provide a precise link between supersymmetric and purely bosonic string theori...

Random Matrix Theory

Random matrix theory is usually taught as a sequence of several graduate courses; we have 16 lectures, so we will give a very brief introduction. Some relevant books for the course: • G. Anderson, A. Guionnet, O. Zeitouni. An introduction to random matrices. [1] • A. Guionnet. Large random matrices: lectures on macroscopic asymptotics. • M. L. Mehta. Random matrices. The study of random matrice...

Random matrix theory

Random matrix theory is now a big subject with applications in many disciplines of science, engineering and finance. This article is a survey specifically oriented towards the needs and interests of a numerical analyst. This survey includes some original material not found anywhere else. We include the important mathematics which is a very modern development, as well as the computational softwa...

Random Matrix Theory

Random Matrix Theory with Non - integer β

We show that the random matrix theory with non-integer " symmetry parameter " β describes the statistics of transport parameters of strongly disordered two dimensional systems. The application of the random matrix theory (RMT) [1] to electronic transport in weakly disordered systems [2] enables us to understand the main features of the transport. The small number of parameters which enters RMT ...