Hostname: page-component-7dd5485656-dk7s8 Total loading time: 0 Render date: 2025-10-31T20:08:11.453Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  03 May 2007

MARTIN BRIDGEMAN  and
DAVID DUMAS
MARTIN BRIDGEMAN
Affiliation:
Department of Mathematics, Boston College, Chestnut Hill, MA 02467, USA (e-mail: bridgem@bc.edu)
DAVID DUMAS
Affiliation:
Department of Mathematics, Brown University, Providence, RI 02912, USA (e-mail: ddumas@math.brown.edu)
Get access Rights & Permissions [Opens in a new window]

Abstract

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.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 27 , Issue 4 , August 2007 , pp. 1055 - 1072
Copyright
2007 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable