Weak mixing for reparameterized linear flows on the torus.

Although semi-classical methods can be applied to many problems, we choose to remain quite close in this short presentation to the initial goals of the theory, that is the

There are other natural examples of transformations indexed by a probability space, which are known to be almost surely rank one, for example the interval exchange

We will prove that under a Diophantine condition on the rota- tion number, the special flow has a polynomial decay of correlations between rectangles.. We will see later why

If we neglect this term in the numerical model, we observe that the behaviour of the turbulent kinetic energy k is modified only for small values of the mixing length ` : k is then

We prove that for a class of self- similar measures on R with overlaps, the Schr¨ odinger equations can be discretized so that the finite element method can be applied to

, On smoothing property of Schr¨ odinger propagators, in Functional- Analytic Methods for Partial Differential Equations (Tokyo, 1989 ), Lecture Notes in Math.. , Smoothing property

We study singular Schr¨ odinger operators with an attractive interac- tion supported by a closed smooth surface A ⊂ R 3 and analyze their behavior in the vicinity of the

Cubic hypersurfaces, lines in hypersurfaces, finite fields, zeta functions, Tate conjecture, Fano varieties.. The second author was partially supported by Proyecto FONDECYT