User menu

The Jacobi polynomial ensemble and the Painleve VI equation

Bibliographic reference Haine, Luc ; Semengue, JP. The Jacobi polynomial ensemble and the Painleve VI equation. In: Journal of Mathematical Physics, Vol. 40, no. 4, p. 2117-2134 (1999)
Permanent URL
  1. Tracy Craig A., Widom Harold, Fredholm determinants, differential equations and matrix models, 10.1007/bf02101734
  2. Jimbo Michio, Miwa Tetsuji, Môri Yasuko, Sato Mikio, Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent, 10.1016/0167-2789(80)90006-8
  3. Adler M., Shiota T., van Moerbeke P., Random matrices, vertex operators and the Virasoro algebra, 10.1016/0375-9601(95)00725-i
  4. Haine L., Bull. Sci. Math., 117, 485 (1993)
  5. Bochner S., Über Sturm-Liouvillesche Polynomsysteme, 10.1007/bf01180560
  6. Adler M., van Moerbeke P., and orthogonal polynomials, 10.1215/s0012-7094-95-08029-6
  7. Damianou Pantelis A., Master symmetries and R-matrices for the Toda lattice, 10.1007/bf00398275
  8. Fernandes R L, On the master symmetries and bi-Hamiltonian structure of the Toda lattice, 10.1088/0305-4470/26/15/028
  9. Jimbo Michio, Miwa Tetsuji, Monodromy perserving deformation of linear ordinary differential equations with rational coefficients. II, 10.1016/0167-2789(81)90021-x