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

Martin Bridgeman; David Dumas

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

Geometric Topology 2007-05-23 v1 Dynamical Systems

Authors: Martin Bridgeman , David Dumas

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.

Keywords

geodesic lamination random geodesic intersection length distribution maximal lamination riemann zeta function

Cite

@article{arxiv.math/0612118,
  title  = {Distribution of intersection lengths of a random geodesic with a geodesic lamination},
  author = {Martin Bridgeman and David Dumas},
  journal= {arXiv preprint arXiv:math/0612118},
  year   = {2007}
}

Comments

20 pages, 3 figures; to appear in Ergodic Theory and Dynamical Systems

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

Abstract

Keywords

Cite

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