On the almost sure spiraling of geodesics in negatively curved manifolds
On the almost sure spiraling of geodesics in negatively curved manifolds
Given a negatively curved geodesic metric space $M$, we study the statistical asymptotic penetration behavior of (locally) geodesic lines of $M$ in small neighborhoods of points, of closed geodesics, and of other compact (locally) convex subsets of $M$. We prove Khintchine-type and logarithme law-type results for the spiraling of geodesic …