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

collaborators

Showing math.PRShow all

3 papers · 1 filter

math.PR2023

CLT for $β$ 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 $β$ -ensembles at high-temperature with polynomial potential. Furthermore, we c…

math.PR2022★ 9 cited

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…

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…

CLT for β ensembles at high-temperature, and for integrable systems: a transfer operator approach

Large Deviations for Ablowitz-Ladik lattice, and the Schur flow

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

CLT for $β$ ensembles at high-temperature, and for integrable systems: a transfer operator approach

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