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math.PR2024
Phase transition for tree-rooted maps
Marie Albenque, Éric 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…
math.PR2023★ 1 cited
A phase transition in block-weighted random maps
William Fleurat, Zéphyr Salvy
We consider the model of random planar maps of size biased by a weight per -connected block, and the closely related model of random planar quadrangulations of size $n…