Title : Dynamical bounds for Schrodinger operators assiociated to 
Sturmian potential

Abstract:
The Fibonacci Hamiltonian, that is a Schr\"{o}dinger operator associated 
to a
sturmian potential with respect to the golden number has been
investigated intensively in recent years.
In dynamical field, Damanik and Tcheremchantsev  found a non trivial 
dynamical upper
bound for this model. Their method can be  generalized to obtain
result for almost all irrational number. As a counter example, we
exhibit a pathological  irrational with faster motion possible.