Abstract
We consider the space of geodesic laminations on a surface, endowed with the Hausdorff metric and with a variation of this metric called the 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.
Citation
Xiaodong Zhu. Francis Bonahon. "The metric space of geodesic laminations on a surface: I." Geom. Topol. 8 (2) 539 - 564, 2004. https://doi.org/10.2140/gt.2004.8.539
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