Forrester Log-Gases and Random Matrices (LMS-34)

Course Book
ISBN: 978-1-4008-3541-6
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 34, 808 Seiten

Reihe: London Mathematical Society Monographs

No detailed description available for "Log-Gases and Random Matrices (LMS-34)".

Autoren/Hrsg.

Forrester, Peter J.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Mathematik | Informatik Mathematik Stochastik

Inhaltsverzeichnis

FrontMatter, pg. i
Preface, pg. v
Contents, pg. xi
Chapter One. Gaussian Matrix Ensembles, pg. 1
Chapter Two. Circular Ensembles, pg. 53
Chapter Three. Laguerre And Jacobi Ensembles, pg. 85
Chapter Four. The Selberg Integral, pg. 133
Chapter Five. Correlation functions at ß = 2, pg. 186
Chapter Six. Correlation Functions At ß= 1 And 4, pg. 236
Chapter Seven. Scaled limits at ß = 1, 2 and 4, pg. 283
Chapter Eight. Eigenvalue probabilities – Painlevé systems approach, pg. 328
Chapter Nine. Eigenvalue probabilities— Fredholm determinant approach, pg. 380
Chapter Ten. Lattice paths and growth models, pg. 440
Chapter Eleven. The Calogero–Sutherland model, pg. 505
Chapter Twelve. Jack polynomials, pg. 543
Chapter Thirteen. Correlations for general ß, pg. 592
Chapter Fourteen. Fluctuation formulas and universal behavior of correlations, pg. 658
Chapter Fifteen. The two-dimensional one-component plasma, pg. 701
Bibliography, pg. 765
Index, pg. 785

Über Autor(innen)

Peter J. Forrester is professor of mathematics at the University of Melbourne.