Jitomirskaya S., Simon B. Operators with Singular Continuous Spectrum, III. Almost Periodic Schrodinger Operators (14K, AMSTeX) ABSTRACT. We prove that one-dimensional Schr\"odinger operators with even almost periodic potential have no point spectrum for a dense $G_\delta$ in the hull. This implies purely singular continuous spectrum for the almost Mathieu equation for coupling larger than $2$ and a dense $G_\delta$ in $\theta$ even if the frequency is an irrational with good Diophantine properties.