2 papers
math.DS2024
Isolated Diophantine numbers
Fernando Argentieri, Luigi Chierchia
In this short note, we discuss the topology of Diophantine numbers, giving simple explicit examples of Diophantine isolated numbers (among those with same Diophantine constatnts),…
math.DS2023
Reducibility without KAM
Fernando Argentieri, Bassam Fayad
We prove rotations-reducibility for close to constant quasi-periodic cocycles in one frequency in the finite regularity and smooth cases, and derive some applica…