Tamara Grava

Publications

2024-2025
2023-2021

Soliton versus the gas: Fredholm determinants, analysis, and the rapid oscillations behind the kinetic equation Girotti, Manuela; Grava, Tamara; Jenkins, Robert; McLaughlin, Ken T.-R.; Minakov, Alexander Comm. Pure Appl. Math. 76 (2023), no. 11, 3233-3299.

Equilibrium spacetime correlations of the Toda lattice on the hydrodynamic scale Mazzuca, Guido; Grava, Tamara; Kriecherbauer, Thomas; McLaughlin, Kenneth T.-R.; Mendl, Christian B.; Spohn, Herbert J. Stat. Phys. 190 (2023), no. 8, Paper No. 149, 22 pp.

Generalized Gibbs ensemble of the Ablowitz-Ladik lattice, circular β -ensemble and double confluent Heun equation Grava, Tamara; Mazzuca, Guido Comm. Math. Phys. 399 (2023), no. 3, 1689-1729.

Soliton shielding of the focusing nonlinear Schrödinger equation Bertola, Marco; Grava, Tamara; Orsatti, Giuseppe Phys. Rev. Lett. 130 (2023), no. 12, Paper No. 127201, 6 pp.

Discrete integrable systems and random Lax matrices Grava, Tamara; Gisonni, Massimo; Gubbiotti, Giorgio; Mazzuca, Guido J. Stat. Phys. 190 (2023), no. 1, Paper No. 10, 35 pp.

Entanglement of two disjoint intervals in conformal field theory and the 2D Coulomb gas on a lattice Grava, Tamara; Kels, Andrew P.; Tonni, Erik Phys. Rev. Lett. 127 (2021), no. 14, Paper No. 141605, 6 pp.

Rigorous asymptotics of a KdV soliton gas Girotti, M.; Grava, T.; Jenkins, R.; McLaughlin, K. D. T.-R. Comm. Math. Phys. 384 (2021), no. 2, 733–784.

Jacobi ensemble, Hurwitz numbers and Wilson polynomials Gisonni, Massimo; Grava, Tamara; Ruzza, Giulio Lett. Math. Phys. 111 (2021), no. 3, Paper No. 67, 38 pp.

Correlation functions for a chain of short range oscillators Grava, T.; Kriecherbauer, T.; Mazzuca, G.; McLaughlin, K. D. T.-R. J. Stat. Phys. 183 (2021), no. 1, Paper No. 1, 31 pp.

2020-2018
2015-2017
2014-2012
2011-2009
2008-2006

T. Grava, C. Klein, Numerical study of a multiscale expansion of the Korteweg de Vries equation and Painleve-II equation, Proc. R. Soc. A (2008) n.464, 733- 757.

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.

S. Abenda and T. Grava, Reciprocal transformations and flat metrics on Hurwitz spaces J. Phys. A: Math. Theor. 40 No 35 (2007) 10769-10790.

T. Grava, Fei-Ran Tian, Large parameter behavior of equilibrium measures. Commun. Math. Sci. 4 (2006), no. 3, 551--573.

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_N curves. Lett. Math. Phys. 76 (2006), no. 2-3, 187--214.

T. Grava, Partition function for multi-cut matrix models. J. Phys. A 39 (2006), no. 28, 8905–8919.

Enolskii, V.; Grava, T. Riemann-Hilbert problem and algebraic curves. Bilinear integrable systems: from classical to quantum, continuous to discrete, 65–76, NATO Sci. Ser. II Math. Phys. Chem., 201, Springer, Dordrecht, 2006.

Grava, T.; Tian, Fei-Ran Large parameter behavior of equilibrium measures. Commun. Math. Sci. 4 (2006), no. 3, 551–573.

Abenda, S.; Grava, T.; Klein, C. On Whitham equations for Camassa-Holm. "WASCOM 2005''—13th Conference on Waves and Stability in Continuous Media, 1–6, World Sci. Publ., Hackensack, NJ, 2006.

2005-2003
2002-2000

Enolski, V.; Grava, T. On the algebro-geometric solution of 3×3 matrix Riemann-Hilbert problem. SPT 2002: Symmetry and perturbation theory (Cala Gonone), 34–41, World Sci. Publ., River Edge, NJ, 2002.

Chen, Yang; Grava, Tamara Eigenvalue correlations on hyperelliptic Riemann surfaces. J. Phys. A 35 (2002), no. 4, L45–L49.

Grava, Tamara Riemann-Hilbert problem for the small dispersion limit of the KdV equation and linear overdetermined systems of Euler-Poisson-Darboux type. Comm. Pure Appl. Math. 55 (2002), no. 4, 395–430.

Grava, Tamara; Tian, Fei-Ran The generation, propagation, and extinction of multiphases in the KdV zero-dispersion limit. Comm. Pure Appl. Math. 55 (2002), no. 12, 1569–1639.

Grava, T. Existence of a global solution of the Whitham equation. (Russian) Teoret. Mat. Fiz. 122 (2000), no. 1, 58--71; translation in Theoret. and Math. Phys. 122 (2000), no. 1, 46–57

T. Grava, From the solution of the Tsarev system to the solution of the Whitham equations. Math. Phys. Anal. Geom. 4 (2001), no. 1, 65–96.

Grava, T. Bifurcation diagram of a one-parameter family of dispersive waves. VI Workshop on Partial Differential Equations, Part I (Rio de Janeiro, 1999). Mat. Contemp. 18 (2000), 137–165.