I am looking for some good references - books/lecture notes/articles which contains Random Matrix Theory for Physicists. I am not particularly looking for mathematical rigor in derivations. I am more interested in knowing the general results, and what are the recent developments in that field and relation to quantum chaos.
Is strongly recommend the following book:
Introduction to Random Matrices: Theory and Practice
Very pedagogical, easy going, and exploiting physics inspired methods such as the replica trick.