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We present an extension of the Gromov-Hausdorff metric on the set of compact metric spaces: the Gromov-Hausdorff-Prokhorov metric on the set of compact metric spaces endowed with a finite measure.
The Continuum Random Tree. I
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A course in metric geometry
Burago, D., Burago, Y. D., and Ivanov, S · 2001
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An Introduction to the Theory of Point Processes
Daley, D., and Vere-Jones, D · 2003
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Probabilistic and fractal aspects of Lévy trees
Duquesne, T., and Le Gall, J.-F · 2005
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Evans, S. N., Pitman, J., and Winter, A · 2005
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Metric Structures for Riemannian and Non-Riemannian Spaces
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Cutting down trees with a Markov chainsaw
Addario-Berry, L., Broutin, N., and Holmgren, C
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Convergence in distribution of random metric measure spaces ( Λ \Lambda -coalescent measure trees)
Greven, A., Pfaffelhuber, P., and Winter, A · 2008
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Tessellations of random maps of arbitrary genus
Miermont, G · 2009
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Optimal transport: old and new
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