Resumen de Distribution of intersection lengths of a random geodesic with a geodesic lamination

Martin Bridgeman, David Dumas

• 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.