9 citations · 11 across the 6 of their papers we have counts for
5 papers · 1 filter
Normalization of Poincaré Singularities {\it via} Variation of Constants
T. Carletti, A. Margheri, M. Villarini
We present a geometric proof of the Poincaré-Dulac Normalization Theorem for analytic vector fields with singularities of Poincaré type. Our approach allows us to relate the size o…
The 1/2--Complex Bruno function and the Yoccoz function. A numerical study of the Marmi--Moussa--Yoccoz Conjecture
Timoteo Carletti
We study the 1/2--Complex Bruno function and we produce an algorithm to evaluate it numerically, giving a characterization of the monoid $\hat{\mathcal{M}}=\mathcal{M}_T\cup \mathc…
Exponentially long time stability for non--linearizable analytic germs of $(\C^n,0)$
Timoteo Carletti
We study the Siegel--Schröder center problem on the linearization of analytic germs of diffeomorphisms in several complex variables, in the Gevrey--, category. We introduc…
The Lagrange inversion formula on non-Archimedean fields. Non-Analytical Form of Differential and Finite Difference Equations
Timoteo Carletti
The classical Lagrange inversion formula is extended to analytic and non--analytic inversion problems on non--Archimedean fields. We give some applications to the field of formal L…
Linearization of analytic and non--analytic germs of diffeomorphisms of
T. Carletti, S. Marmi
We study Siegel's center problem on the linearization of germs of diffeomorphisms in one variable. In addition of the classical problems of formal and analytic linearization, we gi…