82 citations · 523 across the 45 of their papers we have counts for
4 papers · 1 filter
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…
Soliton versus the gas: Fredholm determinants, analysis, and the rapid oscillations behind the kinetic equation
Manuela Girotti, Tamara Grava, Robert Jenkins +2
We analyze the case of a dense mKdV soliton gas and its large time behaviour in the presence of a single trial soliton. We show that the solution can be expressed in terms of Fredh…
Exactly solvable anharmonic oscillator, degenerate orthogonal polynomials and Painleve' II
Marco Bertola, Eduardo Chavez-Heredia, Tamara Grava
The paper addresses a conjecture of Shapiro and Tater on the similarity between two sets of points in the complex plane; on one side is the values of for which th…