Application of the τ-Function Theory¶ of Painlevé Equations to Random Matrices:¶ PIV, PII and the GUE PJ Forrester, NS Witte
Communications in Mathematical Physics 219 (2), 357-398, 2001
143 2001 Finite one-dimensional impenetrable Bose systems: Occupation numbers PJ Forrester, NE Frankel, TM Garoni, NS Witte
Physical Review A 67 (4), 043607, 2003
140 2003 Application of the τ‐function theory of Painlevé equations to random matrices: PV , PIII , the LUE, JUE, and CUE PJ Forrester, NS Witte
Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2002
112 2002 Application of the τ-function theory of Painlevé equations to random matrices: PVI, the JUE, CyUE, cJUE and scaled limits PJ Forrester, NS Witte
Nagoya Mathematical Journal 174, 29-114, 2004
105 2004 Gap probabilities in the finite and scaled Cauchy random matrix ensembles NS Witte, PJ Forrester
Nonlinearity 13 (6), 1965, 2000
72 2000 Painlevé transcendent evaluations of finite system density matrices for 1d impenetrable bosons PJ Forrester, NE Frankel, TM Garoni, NS Witte
Communications in mathematical physics 238, 257-285, 2003
52 2003 Hypergeometric solutions to the q -Painlevé equation of type T Hamamoto, K Kajiwara, NS Witte
International Mathematics Research Notices 2006, 84619, 2006
50 2006 Moments of the Gaussian β ensembles and the large-N expansion of the densities NS Witte, PJ Forrester
Journal of Mathematical Physics 55 (8), 083302, 2014
46 2014 New transformations for Painleve's third transcendent N Witte
Proceedings of the American Mathematical Society 132, 1649-1658, 2004
43 2004 Discriminants and functional equations for polynomials orthogonal on the unit circle MEH Ismail, NS Witte
Journal of Approximation Theory 110 (2), 200-228, 2001
43 2001 Bi-orthogonal polynomials on the unit circle, regular semi-classical weights and integrable systems PJ Forrester, NS Witte
Constructive approximation 24 (2), 201-237, 2006
38 2006 Semiclassical orthogonal polynomial systems on nonuniform lattices, deformations of the Askey table, and analogues of isomonodromy NS Witte
Nagoya Mathematical Journal 219, 127-234, 2015
37 2015 The distribution of the first eigenvalue spacing at the hard edge of the Laguerre unitary ensemble PJ Forrester, NS Witte
Kyushu Journal of Mathematics 61 (2), 457-526, 2007
35 2007 Discrete Painlevé equations, orthogonal polynomials on the unit circle, and N -recurrences for averages over U (N ) —PIII ′ and PV τ-functions PJ Forrester, NS Witte
International Mathematics Research Notices 2004 (4), 159-183, 2004
32 2004 Random matrix theory and the sixth Painlevé equation PJ Forrester, NS Witte
Journal of Physics A: Mathematical and General 39 (39), 12211, 2006
31 2006 Gap probabilities for edge intervals in finite Gaussian and Jacobi unitary matrix ensembles NS Witte, PJ Forrester, CM Cosgrove
Nonlinearity 13 (5), 1439, 2000
30 2000 Boundary conditions associated with the Painlevé III′ and V evaluations of some random matrix averages PJ Forrester, NS Witte
Journal of Physics A: Mathematical and General 39 (28), 8983, 2006
29 2006 Discrete Painlevé equations and random matrix averages PJ Forrester, NS Witte
Nonlinearity 16 (6), 1919, 2003
27 2003 Exact Wigner surmise type evaluation of the spacing distribution in the bulk of the scaled random matrix ensembles PJ Forrester, NS Witte
Letters in Mathematical Physics 53, 195-200, 2000
25 2000 General nonperturbative estimate of the energy density of lattice Hamiltonians LCL Hollenberg, NS Witte
Physical Review D 50 (5), 3382, 1994
25 1994 
peter forresterProfessor of Mathematics, University of MelbourneAdresse e-mail validée de unimelb.edu.au
