Theta-functions of Riemann surfaces and nonlinear waves
Random Matrix theory and orthogonal polynomials
Riemann-Hilbert problems and isomonodromic deformations
Recent Publications:
T. Claeys and T. Grava,
Universality of the break-up profile for the KdV equation in the small dispersion limit using the Riemann-Hilbert approach
Preprint: arXiv:0801.2326.
B.Dubrovin, T.Grava, C.Klein On universality of critical behaviour in the focusing nonlinear Schrödinger equation, elliptic umbilic catastrophe and the tritronquée solution to the Painlevé-I equation.
Preprint: arXiv:0704.0501.
T. Grava, C. Klein, Numerical study of a multiscale expansion of the Korteweg de Vries equation and Painlevé-II equation, Proc. R. Soc. A (2008) n.464, 733- 757.
Preprint: arXiv:0708.0638.
S. Abenda and T. Grava, Reciprocal transformations and flat metrics on Hurwitz spaces
J. Phys. A: Math. Theor. 40 No 35 (2007) 10769-10790. Preprint arXiv.0704.1779
T. Grava, C.Klein, Numerical solution of the small dispersion limit of Korteweg - de Vries and Whitham equations, Communications on Pure and Applied Mathematics, 60, (2007), n.11, 1623-1664.
Preprint /math-ph/0511011
T.Grava, Fei-Ran Tian, Large parameter behavior of equilibrium measures. Commun. Math. Sci. 4 (2006), no. 3, 551--573.Preprint /math-ph/0506040
T.Grava, Partition function for multi-cut matrix models
J. Phys. A: Math. Gen. 39 No 28 (2006) 8905-8919.
V. Z.Enolski, T.Grava, Thomae type formulae for singular $Z\sb N$ curves. Lett. Math. Phys. 76 (2006), no. 2-3, 187--214. Preprint math-ph/0602017
