The metric space of geodesic laminations on a surface: I

Details The metric space of geodesic laminations on a surface: I The metric space of geodesic laminations on a surface: I

2003-08-28

arxiv.org/abs/math/0308267v4

Geom. Topol. 8(2004) 539-564

Mathematics

Geometric Topology

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol8/paper13.abs.html

Scientific paper

We consider the space of geodesic laminations on a surface, endowed with the
Hausdorff metric d_H and with a variation of this metric called the d_log
metric. We compute and/or estimate the Hausdorff dimensions of these two
metrics. We also relate these two metrics to another metric which is
combinatorially defined in terms of train tracks.

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