Compactness and fractal dimensions of inhomogeneous continuum random trees
Probability
2020-12-25 v1
Abstract
We introduce a new stick-breaking construction for inhomogeneous continuum random trees (ICRT). This new construction allows us to prove the necessary and sufficient condition for compactness conjectured by Aldous, Miermont and Pitman arXiv:math/0401115 by comparison with L\'evy trees. We also compute the fractal dimensions (Minkowski, Packing, Hausdorff).
Keywords
Cite
@article{arxiv.2012.13058,
title = {Compactness and fractal dimensions of inhomogeneous continuum random trees},
author = {Arthur Blanc-Renaudie},
journal= {arXiv preprint arXiv:2012.13058},
year = {2020}
}