Accessible Intro to Random Matrix Theory (RMT) I read this fascinating article:
http://www.newscientist.com/article/mg20627550.200-enter-the-matrix-the-deep-law-that-shapes-our-reality.html
Unfortunately all the other papers I find googling are just not tangible to me :-(
Could anyone please point me to some material that bridges the gap from this popular science exposition to the hard core papers that seem to pile up in the Net?
 A: I like very much and I think that the exposition is very good and clear in the Deift's book:
Orthogonal polynomials and random matrices: a Riemann-Hilbert approach.
A: Random matrix theory is a diverse area; and different people prefer different introductions. One question is whether you're mostly interested in mathematical aspect or in applications in physics (and other areas). But I can recommend everything below.
Lecture notes
Topics in random matrix theory,
excellent lecture notes by Fields medallist Terence Tao
Introduction to the Random Matrix Theory: Gaussian Unitary Ensemble and Beyond,
lecture notes by Yan Fyodorov
Topics in random matrix theory
lectures mostly focused on QCD by Jac Verbaarschot
Books
Random Matrices, by Madan Lal Mehta
canonical on the orthogonal polynomial approach
An Introduction to Random Matrices, by Greg Anderson, Alice Guionnet and Ofer Zeitouni  
Overview of applications
The Oxford Handbook of Random Matrix Theory,
Editors: Gernot Akemann, Jinho Baik, Philippe Di Francesco. 
