activity
20242026
most citedRandom initial data and average shock time in the Fermi-Pasta-Ulam-Tsingou chain

1 citations · 1 across the 1 of their papers we have counts for

collaborators

9 papers

math-ph2026

The role of integrability in Fermi-Pasta-Ulam-Tsingou-like models

Matteo Gallone

In these lecture notes, we present, contextualize, and discuss the phenomenon of metastability (or prethermalization) in the Fermi-Pasta-Ulam-Tsingou lattice and similar models fro…

cond-mat.stat-mech20261 cited

Random initial data and average shock time in the Fermi-Pasta-Ulam-Tsingou chain

Matteo Gallone, Ricardo Grande, Antonio Ponno +2

We investigate the dynamics of the Fermi--Pasta--Ulam--Tsingou chain with long-wavelength random initial data. When the energy per particle is small, thermal equilibrium is not rea…

math-ph2026

On Exponentially Long Prethermalization Timescales in Isolated Quantum Systems

Matteo Gallone

We study prethermalization in time-independent quantum many-body systems on a -dimensional lattice with an extensive local Hamiltonian , in the regime where $…

math-ph2025

Polynomial Prethermal Lifetimes in Non Smoothly Driven Quantum Systems

Matteo Gallone, Beatrice Langella

We study the dynamics of a quantum many-body lattice system with a local Hamiltonian subjected to a quasi-periodic driving with finite regularity. For sufficiently large driving fr…

math.AP2025

Trapping by repulsion: the NLS with a delta-prime

Riccardo Adami, Filippo Boni, Matteo Gallone

We establish the existence and provide explicit expressions for the stationary states of the one-dimensional Schrödinger equation with a repulsive delta-prime potential and a focu…

math.HO2025

Singularity: a Seventh Memo?

Matteo Gallone, Sandra Lucente

In this paper we explore the relationships between Calvino's memos and Mathematics. In the first part, we discuss how Lightness, Quickness, Exactitude, Visibility, Multiplicity are…