2 papers
math.PR2025
The scaling limit of planar maps with large faces
Nicolas Curien, Grégory Miermont, Armand Riera
We prove that large Boltzmann stable planar maps of index converge in the scaling limit towards a random compact metric space 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,…