The metric space of geodesic laminations on a surface: I
Xiaodong Zhu, Francis Bonahon
Abstract
We consider the space of geodesic laminations on a surface, endowed with the Hausdorff metric dH and with a variation of this metric called the dlog 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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