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math.PR2024
Phase transition for tree-rooted maps
Marie Albenque, Ãric Fusy, Zéphyr Salvy
We introduce a model of tree-rooted planar maps weighted by their number of -connected blocks. We study its enumerative properties and prove that it undergoes a phase transition…
math.PR2024
Unified study of the phase transition for block-weighted random planar maps
Zéphyr Salvy
In [Fleurat, Salvy 2024], we introduced a model of block-weighted random maps that undergoes a phase transition as the density of separating elements changes. The purpose of this n…