98-686 Henry van den Bedem

Statistical Properties of Hyperbolic Systems with Tangential Singularities (506K, PostScript) Oct 26, 98

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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.

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