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Product Details
This book is Number 118 in theCambridge Studies in Advanced Mathematics series published by Cambridge University Press.
Continued from the back cover: "Useful background material is collected in the appendices and exercises are also included throughout to test the reader's understanding. Enumerative techniques, stochastic analysis, large deviations, concentration inequalities, disintegration, and Lie algebras as all introduced in the text, which will enable readers to approach the research literature with confidence."
Chapters
Introduction
Real and complex Wigner matrices
Hermite polynomials, spacings and limit distributions for the Gaussian ensembles
Some generalities
Free probability
Appendices
Linear algebra preliminaries
Topological preliminaries
Probability measures on Polish spaces
Basic notions of large deviations
The skew field H of quaternions and matrix theory over F
Manifolds
Appendix on operator algebras
Stochastic calculus nations
The book ends with References, General conventions and notation, and Index.