Random Matrix Models and their Applications - Rilegato

 
9780521802093: Random Matrix Models and their Applications
Rilegato
ISBN 10: 0521802091 ISBN 13: 9780521802093
Casa editrice: Cambridge University Press, 2001

Sinossi

Expository articles on random matrix theory emphasizing the exchange of ideas between the physical and mathematical communities.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Descrizione del libro

First published in 2000, this expository volume of surveys and research results 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.

Contenuti

1. Symmetrized random permutations Jinho Baik and Eric M. Rains; 2. Hankel determinants as Fredholm determinants Estelle L. Basor, Yang Chen and Harold Widom; 3. Universality and scaling of zeros on symplectic manifolds Pavel Bleher, Bernard Shiffman and Steve Zelditch; 4. Z measures on partitions, Robinson-Schensted-Knuth correspondence, and random matrix ensembles Alexei Borodin and Grigori Olshanski; 5. Phase transitions and random matrices Giovanni M. Cicuta; 6. Matrix model combinatorics: applications to folding and coloring Philippe Di Francesco; 7. Inter-relationships between orthogonal, unitary and symplectic matrix ensembles Peter J. Forrester and Eric M. Rains; 8. A note on random matrices John Harnad; 9. Orthogonal polynomials and random matrix theory Mourad E. H. Ismail; 10. Random words, Toeplitz determinants and integrable systems I, Alexander R. Its, Craig A. Tracy and Harold Widom; 11. Random permutations and the discrete Bessel kernel Kurt Johansson; 12. Solvable matrix models Vladimir Kazakov; 13. Tau function for analytic Curves I. K. Kostov, I. Krichever, M. Mineev-Vainstein, P. B. Wiegmann and A. Zabrodin; 14. Integration over angular variables for two coupled matrices G. Mahoux, M. L. Mehta and J.-M. Normand; 15. SL and Z-measures Andrei Okounkov; 16. Integrable lattices: random matrices and random permutations Pierre Van Moerbeke; 17. Some matrix integrals related to knots and links Paul Zinn-Justin.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Cambridge University Press
Data di pubblicazione
2001
Lingua
Inglese
ISBN 10 
0521802091
ISBN 13 
9780521802093
Rilegatura
Copertina rigida
Numero di pagine
450
Redattore
Bleher Pavel, Its Alexander
Contatto del produttore
non disponibile
Persona responsabile
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
22763
Germania

Altre edizioni note dello stesso titolo

9780521175166: Random Matrix Models and their Applications

Edizione in evidenza

ISBN 10:  052117516X ISBN 13:  9780521175166
Casa editrice: Cambridge University Press, 2011
Brossura