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Random Matrix Models and their Applications.

Random Matrix Models and their Applications.

・ISBN 978-0-521-80209-3 hard GB£ 135.00

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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-1-009-70144-0

著者・編者Bleher, Pavel / Its, Alexander (eds.),
シリーズMathematical Sciences Research Institute Publications
出版社(Cambridge University Press, UK)
出版年月2001
ページ数450 pp.
言語ENG
ニュース番号<M25-10850>

解説

Random matrices arise from, and have important applications to, number theory, probability, combinatorics, representation theory, quantum mechanics, solid state physics, quantum field theory, quantum gravity, and many other areas of physics and mathematics. This 2001 volume of surveys and research results, based largely on lectures given at the Spring 1999 MSRI program of the same name, covers broad areas such as topologic and combinatorial aspects of random matrix theory; scaling limits, universalities and phase transitions in matrix models; universalities for random polynomials; and applications to integrable systems. Its stress on the interaction between physics and mathematics will make it a welcome addition to the shelves of graduate students and researchers in both fields, as will its expository emphasis.