620-007 Random Matrix Theory

 

Course Outline

  • Outline,PDF (16 K)
  • Lecture Notes from 620-007

  • Energy Levels,EPS (58 K)
  • Stadium Billiards,EPS (20 K)
  • G.O.E.,EPS (18 K)
  • Montgomery-Odlyzko Conjecture,EPS (118 K)
  • Hilbert spaces and Quantum Mechanics,PDF (76 K)
  • SU(2),PDF (27 K)
  • Quaternions,PDF (36 K)
  • Time-reversal symmetry,PDF (155 K)
  • Orthogonal, Unitary and Symplectic Symmetries,PDF (293 K)
  • Symmetric Space Measures,PDF (68 K)
  • Gaussian Ensembles,PDF (152 K)
  • Spectral Decomposition,PDF (134 K)
  • Orthogonal Polynomial Systems,PDF (129 K)
  • Unitary Correlation Functions,PDF (201 K)
  • Gap Probabilities and Spectral Averages,PDF (124 K)
  • A2 Root System and Affine Weyl Group,PDF (141 K)
  • PIV Baecklund Transformations,PDF (137 K)
  • PIV Hamiltonian System,PDF (111 K)
  • PIV Toda Lattice Equation,PDF (110 K)
  • Sylvester Solution,PDF (191 K)
  • PIV Classical Solutions and GUE,PDF (164 K)
  • PII,PDF (298 K)
  • Table of six Painleve equations,PS (34 K)
  • Painleve tau-functions and scaled Random Matrix Ensembles,PS (51 K)
  • Assignments

  • Assignment List: Due on th XX, PDF (37 K)
  • Maple worksheets and PS files

  • Wigner semi-circle law,mws (23 K)
  • Wigner semi-circle law,PS (119 K)
  • Projects in 620-007, 2003

  • Project List,PDF (29 K)
  • Created: 22 January 2003
    Last modified:  2 February 2005
    Authorised by: Head, Department of Mathematics and Statistics.
    
    Maintained by: Nicholas Witte, Department of Mathematics and Statistics.
    Email: N.Witte@ms.unimelb.edu.au