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The metric space of geodesic laminations on a surface: I

The metric space of geodesic laminations on a surface: I

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 …