The action of the mapping class group on the space of geodesic rays of a punctured hyperbolic surface (Q1650829)

Summary: Let \(\Sigma\) be a complete finite-area orientable hyperbolic surface with one cusp, and let \(\mathcal{R}\) be the space of complete geodesic rays in \(\Sigma\) emanating from the puncture. Then there is a natural action of the mapping class group of \(\Sigma\) on \(\mathcal{R}\). We show that this action is ``almost everywhere'' wandering.