| 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 | 169 | 2001 |
| Finite one-dimensional impenetrable Bose systems: Occupation numbers PJ Forrester, NE Frankel, TM Garoni, NS Witte Physical Review A 67 (4), 043607, 2003 | 155 | 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 | 138 | 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 | 120 | 2004 |
| Gap probabilities in the finite and scaled Cauchy randommatrixensembles NS Witte, PJ Forrester Nonlinearity 13 (6), 1965, 2000 | 80 | 2000 |
| Moments of the Gaussian β Ensembles and the large-N expansion of the densities NS Witte, PJ Forrester Journal of Mathematical Physics 55 (8), 2014 | 60 | 2014 |
| Hypergeometric solutions to the q-Painlevé equation of type T Hamamoto, K Kajiwara, NS Witte International Mathematics Research Notices 2006, 84619, 2006 | 58 | 2006 |
| 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 (1), 257-285, 2003 | 52 | 2003 |
| Discriminants and functional equations for polynomials orthogonal on the unit circle MEH Ismail, NS Witte Journal of Approximation Theory 110 (2), 200-228, 2001 | 46 | 2001 |
| New transformations for Painleve's third transcendent N Witte Proceedings of the American Mathematical Society 132, 1649-1658, 2004 | 44 | 2004 |
| 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 | 41 | 2006 |
| 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 | 40 | 2007 |
| 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 | 39 | 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 | 36 | 2015 |
| General nonperturbative estimate of the energy density of lattice Hamiltonians LCL Hollenberg, NS Witte Physical Review D 50 (5), 3382, 1994 | 36 | 1994 |
| Painlevé II in random matrix theory and related fields PJ Forrester, NS Witte Constructive Approximation 41 (3), 589-613, 2015 | 35 | 2015 |
| Gap probabilities for edgeintervals in finite Gaussian and Jacobi unitary matrix ensembles NS Witte, PJ Forrester, CM Cosgrove Nonlinearity 13 (5), 1439, 2000 | 34 | 2000 |
| Large N expansions for the Laguerre and Jacobi β-ensembles from the loop equations PJ Forrester, AA Rahman, NS Witte Journal of Mathematical Physics 58 (11), 2017 | 33 | 2017 |
| 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 | 33 | 2004 |
| 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 (3), 195-200, 2000 | 33 | 2000 |
peter forresterProfessor of Mathematics, University of MelbourneVerified email at unimelb.edu.au
