Recent papers (on random matrices)

  1. Spectral statistics of orthogonal and symplectic ensembles Chapter 5 of Handbook of Matrix Theory.

  2. A PDE for Nonintersecting Brownian motions and Applications (with P. van Moerbeke, J. Delepine and P. Vanhaecke) (ArXiv: math-ph/0911.0152)

  3. Universality of the Pearcy process (with N. Orantin and P. van Moerbeke) (ArXiv: math-ph0901.4520)

  4. Airy processes with wanderers and new universality classes (with P. Ferrari and P. van Moerbeke) (ArXiv: math-ph/0811.1863)

  5. Dyson's non-intersecting Brownian motions with a few outliers Comm. Pure and Applied Math. 2009 (with J. Delepine and P. van Moerbeke) (ArXiv: math-ph/0707.0442)

  6. Moment matrices and multi-component KP, with applications to random matrix theory Comm. Math. Phys. 2009 (with P. van Moerbeke and P. Vanhaecke) (ArXiv: math-ph/0612064)

  7. Joint probability for the Pearcy process (with P. van Moerbeke) (ArXiv: math-ph/0612393)

  8. Integrable Systems, Random Matrices and Random Processes

  9. Singularity confinement for a class of m-th order difference equations of combinatorics Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. (with P. van Moerbeke and P. Vanhaecke) (ArXiv: math-ph/0601020)

  10. PDE's for the Gaussian ensemble with external source and the Pearcey distribution. (with P. van Moerbeke) (ArXiv: math.PR/0509047)

  11. PDE's for the Dyson, Airy and Sine processes Ann. Inst. Fourier (Grenoble) 55 (2005), no. 6, 1835--1846

  12. Expectations of hook products on large partitions Comm. Math. Phys. (2005) (with A. Borodin, P. van Moerbeke)

  13. PDE's for the joint distributions of the Dyson, Airy and Sine processes Ann. Probab. 33 (2005), no. 4, 1326--1361 (with P. van Moerbeke) (ArXiv: math.PR/0403504)

  14. Virasoro action on Schur function expansions, skew Young tableaux and random walks Comm. Pure Appl. Math. 58 (2005), no. 3, 362--408 (with P. van Moerbeke) (ArXiv: math.PR/0309202)

  15. Integrals over Grassmannians and Random permutations Advances in Math., 181 190--249 (2004) (with P. van Moerbeke) (arXiv:math.CO/0110281)

  16. A PDE for the joint distributions of the Airy Process (2003) (with P. van Moerbeke) (ArXiv: math.PR/0302329)

  17. Recursion relations for Unitary integrals of Combinatorial nature and the Toeplitz lattice Comm. Math. Phys. 237 397--440 (2003) (with P. van Moerbeke) (arXiv: math-ph/0201063).

  18. Rational solutions to the Pfaff lattice and Jack polynomials Special Volume in memory of Jurgen Moser in: Ergodic theory & dynamical systems, 22 1--41 (2002). (with P. van Moerbeke, V. Kuznetsov) (arXiv: nlin.SI/0202037)

  19. Pfaff tau-functions Math. Annalen, 322, 423--476 (2002). (with P. van Moerbeke and T. Shiota) (arXiv: solv-int/9909010)

  20. Toda versus Pfaff lattice and related polynomials, Duke Math. J. 112, (3) (2002), pp 1--58. (with P. van Moerbeke) (arXiv: solv-int/9912008)

  21. Darboux transforms on band matrices, weights, and associated polynomials, Int. Math. Res. Notices, 18, pp 935--984 (2001). (with P. van Moerbeke) (arXiv: nlin.SI/0010048)

  22. Hermitian, symmetric and symplectic random ensembles: PDE's for the distribution of the spectrum}, Annals of Mathematics, 153, 149--189, (2001) (with P. van Moerbeke). (arXiv: math-ph/0009001)

  23. Integrals over classical groups, random permutations, Toda and Toeplitz lattices Comm. Pure Appl. Math., 54, 153--205, (2000) (with P. van Moerbeke) (arXiv: math.CO/9912143).

  24. Classical skew orthogonal polynomials and random matrices J. of statistical physics, 99, 141--170, (2000) (with P. van Moerbeke, Nagao and P. Forrester) (arXiv: Solv-int/9907001).

  25. The spectrum of coupled random matrices, Annals of Mathematics, 149, 921--976 (1999) (with P. van Moerbeke). (arXiv:hep-th/9907213)

  26. The Pfaff lattice and skew-orthogonal polynomials International Mathematics Research notices, 11, 569--588 (1999). (with E. Horozov, P. van Moerbeke) (arXiv: solv-int/9903005)

  27. Generalized orthogonal polynomials, discrete KP and Riemann-Hilbert problems Comm. Math. Phys., 207, 589--620 (1999) (with P. van Moerbeke)(arXiv:nlin.SI/0009002)

  28. Vertex operator solutions to the discrete KP-hierarchy, Comm. Math. Phys. 203, 185--210 (1999). (with P. van Moerbeke) (arXiv: solv-int/9912014)

  29. Random matrices, Virasoro algebras and non-commutative KP Duke Math. J. 94, 379--431 (1998) (with P. van Moerbeke and T. Shiota). (arXiv: solv-int/9812006)

  30. Toda-Darboux maps and vertex operators, Internat. Math. Res. Notices, 10, 489--511 (1998) (with P. van Moerbeke). (arXiv: solv-int/9712016)

  31. The solution to the $q$-KdV equation, Phys. Letters, Phys. Letters A 242, 139-151, 1998 (with E. Horozov, P. van Moerbeke) (arXiv: solv-int/9712015)

  32. String-orthogonal polynomials, string equations and 2-Toda symmetries Comm. Pure & Appl. Math., 50,241--290 (1997) (with P. van Moerbeke). (arXiv: hep-th/9706182)

  33. Group factorization, moment matrices and 2-Toda lattices, Internat. Math. Res. Notices, 12, 555-572 (1997)(with P. van Moerbeke).

  34. New matrix model solutions to the Kac-Schwarz problem, Nucl. Physics B, Proc. Suppl., 49 (1996), 201-212. (with P. van Moerbeke, A. Morozov, T. Shiota) (arXiv:hep-th/9603066)

  35. A matrix integral solution to $[P,Q]=P$ and matrix Laplace transforms, Comm. Math. Phys., 180, 233-263 (1996) (with P. van Moerbeke, A. Morozov et T. Shiota). (arXiv:hep-th/9610137)

  36. Matrix integrals, Toda symmetries, Virasoro constraints and orthogonal polynomials Duke Math. J., 80, 863-911 (1995) (with P. van Moerbeke). (arXiv: solv-int/9706010)

  37. A Lax pair representation for the vertex operator and the central extension, Comm. Math. Phys., 171, 547-588 (1995) (with P. van Moerbeke and T. Shiota).

  38. Random matrices, vertex operators and the Virasoro algebra, Phys. Lett. A 208, 67--78, (1995) (with P. van Moerbeke and T. Shiota).

  39. Compatible Poisson structures and the Virasoro algebra, Comm. Pure & Appl. Math., 47, 5-37 (1994) (with P. van Moerbeke).

  40. From the w-algebra to its central extension: a tau-function approach, Phys. Lett. A, 194, 33-43 (1994) (with P. van Moerbeke and T. Shiota).

  41. A matrix integral solution to two-dimensional Wp-gravity, Comm. Math. Phys., 147 , 25-56 (1992). (with P. van Moerbeke).