Armand Riera

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math.PR2025

The scaling limit of planar maps with large faces

Nicolas Curien, GrÃ©gory Miermont, Armand Riera

We prove that large Boltzmann stable planar maps of index $I^\pm \in (1; 2)$ converge in the scaling limit towards a random compact metric space $S_{I^} \pm$ that we construct expli…

math.PR2025

Self-similar Markov trees and scaling limits

Jean Bertoin, Nicolas Curien, Armand Riera

Self-similar Markov trees constitute a remarkable family of random compact real trees carrying a decoration function that is positive on the skeleton. As the terminology suggests,…