13 citations · 16 across the 3 of their papers we have counts for
4 papers · 1 filter
Stable trees as mixings of inhomogeneous continuum random trees
Minmin Wang
It has been claimed in Aldous, Miermont and Pitman [PTRF, 2004] that all Lévy trees are mixings of inhomogeneous continuum random trees. We give a rigorous proof of this claim in t…
Limits of multiplicative inhomogeneous random graphs and Lévy trees: Limit theorems
Nicolas Broutin, Thomas Duquesne, Minmin Wang
We consider a natural model of inhomogeneous random graphs that extends the classical Erd\H os-Rényi graphs and shares a close connection with the multiplicative coalescence, as po…
Limits of multiplicative inhomogeneous random graphs and Lévy trees: The continuum graphs
Nicolas Broutin, Thomas Duquesne, Minmin Wang
Motivated by limits of critical inhomogeneous random graphs, we construct a family of sequences of measured metric spaces that we call continuous multiplicative graphs, that are ex…
Decomposition of Levy trees along their diameter
Thomas Duquesne, Minmin Wang
We study the diameter of L{é}vy trees that are random compact metric spaces obtained as the scaling limits of Galton-Watson trees. L{é}vy trees have been introduced by Le Gall and…