82 citations · 523 across the 45 of their papers we have counts for
46 papers
Large deviations of the periodic Toda chain
Tamara Grava, Alice Guionnet, Karol K. Kozlowski +1
This work establishes a large deviation principle for the spectral measure of the Lax matrix associated to the periodic Toda chain of particles, subject to a generalised Gibbs…
-problem for focusing nonlinear Schrödinger equation and soliton shielding
Marco Bertola, Tamara Grava, Giuseppe Orsatti
We consider soliton gas solutions of the Focusing Nonlinear Schrödinger (NLS) equation, where the point spectrum of the Zakharov-Shabat linear operator condensate in a bounded doma…
Integrable operators, -Problems, KP and NLS hierarchy
Marco Bertola, Tamara Grava, Giuseppe Orsatti
We develop the theory of integrable operators acting on a domain of the complex plane with smooth boundary in analogy with the theory of integrable operators acting o…
Equilibrium Spacetime Correlations of the Toda Lattice on the Hydrodynamic Scale
Guido Mazzuca, Tamara Grava, Thomas Kriecherbauer +3
We report on molecular dynamics simulations of spacetime correlations of the Toda lattice in thermal equilibrium. The correlations of stretch, momentum, and energy are computed num…
Discrete integrable systems and random Lax matrices
Massimo Gisonni, Tamara Grava, Giorgio Gubbiotti +1
We study properties of Hamiltonian integrable systems with random initial data by considering their Lax representation. Specifically, we investigate the spectral behaviour of the c…
The Stieltjes--Fekete problem and degenerate orthogonal polynomials
Marco Bertola, Eduardo Chavez-Heredia, Tamara Grava
A famous result of Stieltjes relates the zeroes of the classical orthogonal polynomials with the configurations of points on the line that minimize a suitable energy. The energy ha…