3 papers
math.DS2010
Linearization of generalized interval exchange maps
Stefano Marmi, Pierre Moussa, Jean-Christophe Yoccoz
A standard interval exchange map is a one-to-one map of the interval which is locally a translation except at finitely many singularities. We define for such maps, in terms of the…
nucl-th2009
Schrödinger equations for the square root density of an eigenmixture and % the square root of an eigendensity spin matrix
B. G. Giraud, P. Moussa
We generalize a "one eigenstate" theorem of Levy, Perdew and Sahni (LPS) to the case of densities coming from eigenmixture density operators. The generalization is of a special int…
math.DS2003
On the cohomological equation for 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…