18 citations · 82 across the 12 of their papers we have counts for
12 papers
Soliton Synchronization with Randomness: Rogue Waves and Universality
Manuela Girotti, Tamara Grava, Robert Jenkins +3
We consider an -soliton solution of the focusing nonlinear Schrödinger equations. We give conditions for the synchronous collision of these solitons. When the solitons veloc…
The formation of a soliton gas condensate for the focusing Nonlinear Schrödinger equation
Aikaterini Gkogkou, Guido Mazzuca, Kenneth D. T-R McLaughlin
In this work, we carry out a rigorous analysis of a multi-soliton solution of the focusing nonlinear Schrödinger equation as the number, , of solitons grows to infinity. We disc…
Generalized Hydrodynamics for the Volterra lattice: Ballistic and nonballistic behavior of correlation functions
Guido Mazzuca
In recent years, a lot of effort has been put in describing the hydrodynamic behavior of integrable systems. In this paper, we describe such picture for the Volterra lattice. Speci…
CLT for ensembles at high-temperature, and for integrable systems: a transfer operator approach
Guido Mazzuca, Ronan Memin
In this paper, we prove a polynomial Central Limit Theorem for several integrable models, and for the -ensembles at high-temperature with polynomial potential. Furthermore, we c…
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…
Large Deviations for Ablowitz-Ladik lattice, and the Schur flow
Guido Mazzuca, Ronan Memin
We consider the Generalized Gibbs ensemble of the Ablowitz-Ladik lattice, and the Schur flow. We derive large deviations principles for the distribution of the empirical measures o…
Generalized Gibbs ensemble of the Ablowitz-Ladik lattice, Circular -ensemble and double confluent Heun equation
Tamara Grava, Guido Mazzuca
We consider the discrete defocusing nonlinear Schrödinger equation in its integrable version, which is called defocusing Ablowitz-Ladik lattice. We consider periodic boundary condi…
The classical -ensembles with proportional to : from loop equations to Dyson's disordered chain
Peter J. Forrester, Guido Mazzuca
In the classical -ensembles of random matrix theory, setting and taking the limit gives a statistical state depending on . Using the loop equations…
Correlation Functions for a Chain of Short Range Oscillators
Guido Mazzuca, Tamara Grava, Thomas Kriecherbauer +1
We consider a system of harmonic oscillators with short range interactions and we study their correlation functions when the initial data is sampled with respect to the Gibbs measu…
On the mean Density of States of some matrices related to the beta ensembles and an application to the Toda lattice
Guido Mazzuca
In this manuscript we study tridiagonal random matrix models related to the classical -ensembles (Gaussian, Laguerre, Jacobi) in the high temperature regime, i.e. when the size…
Adiabatic invariants for the FPUT and Toda chain in the thermodynamic limit
T. Grava, A. Maspero, G. Mazzuca +1
We consider the Fermi-Pasta-Ulam-Tsingou (FPUT) chain composed by particles and periodic boundary conditions, and endow the phase space with the Gibbs measure at small te…