3 papers
math.DS2025
On the linearization of analytic diffeomorphisms of the torus
Fernando Argentieri, Livia Corsi
We provide an arithmetic condition weaker then the Bryuno condition for which it is possible to apply a KAM scheme in dimension greater then one. The KAM scheme will be provided in…
math.AP2025
Infinitely many isolas of modulational instability for Stokes waves
Massimiliano Berti, Livia Corsi, Alberto Maspero +1
This paper proves long-standing conjectures regarding the existence of infinitely many high-frequency modulational instability ``isolas" for a Stokes wave in arbitrary depth $ \mat…
math.AP2025
On higher order isolas of unstable Stokes waves
Massimiliano Berti, Livia Corsi, Alberto Maspero +1
We overview the recent result [3, Theorem 1.1] about the high-frequency instability of Stokes waves subject to longitudinal perturbations. The spectral bands of unstable eigenvalue…