Distribution of intersection lengths of a random geodesic with a geodesic lamination
Abstract
Description
We investigate the distribution of lengths obtained by intersecting a random geodesic with a geodesic lamination. We give an explicit formula for the distribution for the case of a maximal lamination and show that the distribution is independent of the surface and lamination. We also show how the moments of the distribution are related to the Riemann zeta function.
20 pages, 3 figures; to appear in Ergodic Theory and Dynamical Systems
20 pages, 3 figures; to appear in Ergodic Theory and Dynamical Systems