An Introduction to Random Matrices (BOK)

Greg W. Anderson, Alice Guionnet, Ofer Zeitouni

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The theory of random matrices plays an important role in many areas of pure mathematics and employs a variety of sophisticated mathematical tools (analytical, probabilistic and combinatorial). This diverse array of tools, while attesting to the vitality of the field, presents several formidable obstacles to the newcomer, and even the expert probabilist. This rigorous introduction to the basic theory is sufficiently self-contained to be accessible to graduate students in mathematics or related sciences, who have mastered probability theory at the graduate level, but have not necessarily been exposed to advanced notions of functional analysis, algebra or geometry. 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 all are introduced in the text, which will enable readers to approach the research literature with confidence.

Produktfakta

Språk Engelsk Engelsk Innbinding Innbundet
Utgitt 2009 Forfatter Alice Guionnet, Greg W. Anderson, Ofer Zeitouni
Forlag
CAMBRIDGE UNIVERSITY PRESS
ISBN 9780521194525
Antall sider 506 Dimensjoner 15,2cm x 22,8cm x 3,2cm
Vekt 840 gram Leverandør Bertram Trading Ltd
Emner og form Calculus & mathematical analysis, Algebra