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4 papers
The cohomological equation for Roth type interval exchange maps
Stefano Marmi, Pierre Moussa, Jean-Christophe Yoccoz
We exhibit an explicit full measure class of minimal interval exchange maps T for which the cohomological equation has a bounded solution provided that the datum…
Quasianalytic monogenic solutions of a cohomological equation
Stefano Marmi, David Sauzin
We prove that the solutions of a cohomological equation of complex dimension one and in the analytic category have a monogenic dependence on the parameter, and we investigate the q…
An Introduction To Small Divisors
S. Marmi
This is an introduction to small divisors problems. The material treated in this book was brought together for a PhD course I tought at the University of Pisa in the spring of 1999…
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…