Guido Mazzuca

collaborators

3 papers

math.PR2021

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…

math-ph2020

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…

math-ph2020

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 $N ≫ 1$ particles and periodic boundary conditions, and endow the phase space with the Gibbs measure at small te…

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

Correlation Functions for a Chain of Short Range Oscillators

Adiabatic invariants for the FPUT and Toda chain in the thermodynamic limit

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