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math.DS2024
Ergodicity of skew-products over typical IETs
Fernando Argentieri, Przemysław Berk, Frank Trujillo
We prove ergodicity of a class of infinite measure preserving systems, called skew-products. More precisely, we consider systems of the form \[ {T_f}:{[0, 1) \times \mathbb{R}}\to{…
math.DS2024
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.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),…