A synthesis of random matrix theory for applications in mathematics, physics and engineering

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Random matrix theory, matrix theory where the elements are random, or the matrix chosen from an ensemble, is driven by its ever expanding range of applications, and the richness of the mathematics being uncovered. These applications include topics of acknowledged modern day importance, for example quantum information theory, wireless communication, data analysis, signal processing and the study of algorithms. Buoyed by promising preliminary investigations, this project aims to draw together seemingly disparate techniques to tackle problems from such topics. In addition to providing solutions to these problems, these methods are expected to provide inspiration for fellow researchers.