Abstract
We introduce a new stick-breaking construction for inhomogeneous continuum random trees. This new construction allows us to prove the necessary and sufficient condition for compactness conjectured by Aldous et al. (Probab Theory Relat Fields 129(2):182–218, 2004) by comparison with Lévy trees. We also compute the fractal dimensions (Minkowski, Packing, Hausdorff).
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