Cesar R. de Oliveira, Carlos Gutierrez
Almost Periodic Schroedinger Operators Along Interval Exchange Transformations
(219K, pdf)

ABSTRACT.  It is shown that Schroedinger operators, with potentials along the 
shift embedding of irreducible interval exchange transformations in a dense set, have pure singular continuous spectrum for ebesgue almost all points of the interval. Such potentials are natural generalizations of the Sturmian case.