Random matrix models and their applications
Pavel Bleher, Alexander Its
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 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 focus 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.
類別:
年:
2001
版本:
1
出版商:
Cambridge University Press
語言:
english
頁數:
419
ISBN 10:
0521802091
ISBN 13:
9780521802093
系列:
Mathematical Sciences Research Institute publications 40
文件:
DJVU, 2.51 MB
IPFS:
,
english, 2001