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The Oxford handbook of random matrix theory / editors, Gernot Akemann, Jinho Baik and Philippe Di Francesco.

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Language:
English.
Publication date:
2011
Imprint:
Oxford ; New York : Oxford University Press, 2011.
Format:
  • Book
  • xxxi, 919 p. : ill. ; 26 cm.
Title Variation:
Handbook of random matrix theory
Contents:
  • Machine generated contents note:
  • Forward, Freeman Dyson
  • I Introduction
  • 1. Guide to the Handbook, Gernot Akenmann, Jinho Baik & Philippe Di Francesco
  • 2. History, Oriol Bohigas & Hans Weidenmuller
  • II Properties of Random Matrix Theory
  • 3. Symmetry Classes, Martin Zirnbauer
  • 4. Spectral Statisitics of Unitary Emsembles, Greg W. Anderson
  • 5. Spectral Statistics of Orthogonal and Symplectic Ensembles, Mark Adler
  • 6. Universality, Arno Kuijlaars
  • 7. Supersymmetry, Thomas Guhr
  • 8. Replica Approach, Eugene Kanzieper
  • 9. Painleve Transcendents, Alexander Its
  • 10. Random Matrices and Integrable Systems, Pierre van Moerbeke
  • 11. Determinantal Point Processes, Alexei Borodin
  • 12. Random Matrix Representations of Critical Statistics, Vladimir Kravtsov
  • 13. Heavy-Tailed Random Matrices, Zdzislaw Burda & Jerzy Jurkiewicz
  • 14. Phase Transitions, Giovanni Cicuta & Luca Molinari
  • 15. Two-Matrix Models and Biorthogonal Polynomials, Marco Bertola
  • 16. Loop Equation Method, Nicolas Orantin
  • 17. Unitary Integrals and Related Matrix Models, Alexei Morozov
  • 18. Non-Hermitian Ensembles, Boris Khoruzhenko & Hans-Jurgen Sommers
  • 19. Characteristic Polynomials, Edouard Brezin & Sinobu Hikami
  • 20. Beta Ensembles, Peter Forrester
  • 21. Wigner Matrices, Gerard Ben Arous & Guionnet
  • 22. Free Probability Theory, Roland Speicher
  • 23. Random Banded and Sparse Matrices, Thomas Spencer
  • III Applications of Random Matrix Theory
  • 24. Number Theory, Jon Keating & Nina Snaith
  • 25. Random Permutations, Grigori Olshanski
  • 26. Enumeration of Maps, Jeremie Bouttier
  • 27. Knot Theory, Poul Zinn-Justin & Jean-Bernard Zuber
  • 28. Multivariate Statistics, Noureddine El Karoui
  • 29. Algrebraic Geometry, Leonid Chekhov
  • 30. Two-Dimensional Quantum Gravity, Ian Kostov
  • 31. String Theory, Marcos Marino
  • 32. Quantum Chromodynamics, Jac Verbaarschot
  • 33. Quantum Chaos and Quantum Graphs, Sebastian Muller & Martin Sieber
  • 34. Resonance Scattering in Chaotic Systems, Yan Fyodorov & Dmitry Savin
  • 35. Condensed Matter Physics, Carlo W. J. Beenakker
  • 36. Optics, Carlo W. J. Beenakker
  • 37. Extreme Eigenvalues of Wishart Matrices and Entangled Bipartite System, Satya N. Majumdar
  • 38. Random Growth Models, Patrik L. Ferrari & Herbert Spohn
  • 39. Laplacian Growth, Anton Zabrodin
  • 40. Financial Applications, Jean-Phillipe Bouchard & Marc Potters
  • 41. Information Theory, Antonia Tulino & Sergio Verdu
  • 42. Ribonucleic Acid Folding, Graziano Vernizzi & Henri Orland
  • 43. Complex Networks, Geoff Rodgers & Taro Nagao.
Contributor:
Akemann, Gernot.
Baik, Jinho, 1973-
Di Francesco, Philippe.
Subjects:
ISBN:
9780199574001
0199574006

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