Henry van den Bedem
Statistical Properties of Hyperbolic Systems with Tangential Singularities
(506K, PostScript)

ABSTRACT.  We consider piecewise smooth, uniformly hyperbolic systems on a 
Riemannian manifold, where we allow the angle between the unstable 
direction and the singularity manifolds to vanish. Under natural 
assumptions we prove that such systems exhibit Exponential 
Decay of Correlations and satisfy a Central Limit Theorem with 
respect to a mixing {\sc srb}-measure. These results have been shown 
previously for systems in which the angle between the singularity 
manifold and unstable direction is uniformly bounded away from zero.