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math.DS2020
Optimal linearization of vector fields on the torus in non-analytic Gevrey classes
Abed Bounemoura
We study linear and non-linear small divisors problems in analytic and non-analytic regularity. We observe that the Bruno arithmetic condition, which is usually attached to non-lin…
math.DS2020
Some remarks on the Classical KAM Theorem, following P{ö}schel
Abed Bounemoura
We propose a slight correction and a slight improvement on the main result contained in "A lecture on Classical KAM Theorem" by J. P{ö}schel.