Nicholas Witte

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peter forresterProfessor of Mathematics, University of MelbourneVerified email at unimelb.edu.au
Lloyd C. L. HollenbergThomas Baker Chair, School of Physics, University of MelbourneVerified email at unimelb.edu.au
Tim GaroniMonash UniversityVerified email at monash.edu
Kenji KajiwaraInstitute of Mathematics for Industry, Kyushu UniversityVerified email at imi.kyushu-u.ac.jp
Christopher OrmerodCambium AssessmentVerified email at cambiumassessment.com
Anas A. RahmanPostdoctoral fellow at the International Centre for Theoretical Physics (ICTP)Verified email at ictp.it
Folkmar BornemannProfessor of Mathematics, Technische Universität München, GermanyVerified email at tum.de
Lu WeiTexas Tech UniversityVerified email at ttu.edu
Roozbeh GharakhlooUniversity of California, Santa CruzVerified email at ucsc.edu
Paul A PearceProfessor, School of Mathematics and Statistics, University of MelbourneVerified email at ms.unimelb.edu.au
David BessisVerified email at ens.fr
Jacques H.H. PerkOklahoma State UniversityVerified email at okstate.edu
Allan TrinhUniversity of MelbourneVerified email at student.unimelb.edu.au
Priscilla GreenwoodUniversity of British ColumbiaVerified email at math.ubc.ca
Alexander V KitaevSteklov Mathematical Institute, St. Petersburg, RussiaVerified email at pdmi.ras.ru
R. ShankarInstitute of Mathematical SciencesVerified email at imsc.res.in
Maria das Neves RebochoAssociate Professor, Universidade da Beira Interior (Portugal)Verified email at ubi.pt
John B. GoodenoughThe University of Texas at AustinVerified email at mail.utexas.edu
Cameron WellardVerified email at monash.edu

Nicholas Witte

Victoria University of Wellington

Verified email at vuw.ac.nz

classical analysis approximation theory integrable systems mathematical physics


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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	160	2001
Finite one-dimensional impenetrable Bose systems: Occupation numbers PJ Forrester, NE Frankel, TM Garoni, NS Witte Physical Review A 67 (4), 043607, 2003	149	2003
Application of the τ‐function theory of Painlevé equations to random matrices: P_V, P_III, the LUE, JUE, and CUE PJ Forrester, NS Witte Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2002	127	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	114	2004
Gap probabilities in the finite and scaled Cauchy random matrix ensembles NS Witte, PJ Forrester Nonlinearity 13 (6), 1965, 2000	77	2000
Hypergeometric solutions to the q-Painlevé equation of type T Hamamoto, K Kajiwara, NS Witte International Mathematics Research Notices 2006, 84619, 2006	56	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), 2014	53	2014
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
Discriminants and functional equations for polynomials orthogonal on the unit circle MEH Ismail, NS Witte Journal of Approximation Theory 110 (2), 200-228, 2001	44	2001
New transformations for Painleve's third transcendent N Witte Proceedings of the American Mathematical Society 132, 1649-1658, 2004	43	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	39	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	37	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	36	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	34	2015
Discrete Painlevé equations, orthogonal polynomials on the unit circle, and N-recurrences for averages over U(N) —P_III′ and P_V 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, 195-200, 2000	32	2000
Discrete Painlevé equations and random matrix averages PJ Forrester, NS Witte Nonlinearity 16 (6), 1919, 2003	31	2003
Gap probabilities for edge intervals in finite Gaussian and Jacobi unitary matrix ensembles NS Witte, PJ Forrester, CM Cosgrove Nonlinearity 13 (5), 1439, 2000	31	2000
Random matrix theory and the sixth Painlevé equation PJ Forrester, NS Witte Journal of Physics A: Mathematical and General 39 (39), 12211, 2006	30	2006
Painlevé II in random matrix theory and related fields PJ Forrester, NS Witte Constructive Approximation 41 (3), 589-613, 2015	29	2015

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