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

• Autores: Martin Bridgeman, David Dumas
• Localización: Ergodic theory and dynamical systems, ISSN 0143-3857, Vol. 27, Nº 4, 2007, págs. 1055-1072
• Idioma: inglés
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• Resumen

  • 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.