2 papers
math.DS2024
Nineteen Fifty-four: Kolmogorov's new "metrical approach" to Hamiltonian Dynamics
Luigi Chierchia, Isabella Fascitiello
We review Kolmogorov's 1954 fundamental paper {\sl On the Conservation of Conditionally Periodic Motions under Small Perturbation of the Hamiltonian} (Dokl. akad. nauk SSSR,1954, v…
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),…