Guido Mazzuca

activity

20202025

most citedAdiabatic invariants for the FPUT and Toda chain in the thermodynamic limit

18 citations · 82 across the 12 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

cond-mat.stat-mech2021★ 9 cited

Generalized Gibbs ensemble of the Ablowitz-Ladik lattice, Circular $β$ -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…

math.PR2021★ 11 cited

The classical $β$ -ensembles with $β$ proportional to $1/ N$ : from loop equations to Dyson's disordered chain

Peter J. Forrester, Guido Mazzuca

In the classical $β$ -ensembles of random matrix theory, setting $β = 2 α / N$ and taking the $N \to \infty$ limit gives a statistical state depending on $α$ . Using the loop equations…

Generalized Gibbs ensemble of the Ablowitz-Ladik lattice, Circular β-ensemble and double confluent Heun equation

The classical β-ensembles with β proportional to 1/N: from loop equations to Dyson's disordered chain

Generalized Gibbs ensemble of the Ablowitz-Ladik lattice, Circular $β$ -ensemble and double confluent Heun equation

The classical $β$ -ensembles with $β$ proportional to $1/ N$ : from loop equations to Dyson's disordered chain