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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,…
math.PR2025
Reinforced Galton--Watson processes III: Empirical offspring distributions
Jean Bertoin, Bastien Mallein
Reinforced Galton--Watson processes describe the dynamics of a population where reproduction events are reinforced, in the sense that offspring numbers of forebears can be repeated…
math.PR2024
Reinforced Galton-Watson processes II: Large time behaviors
Jean Bertoin, Bastien Mallein
Reinforced Galton-Watson processes have been introduced in arxiv:2306.02476 as population models with non-overlapping generations, such that reproduction events along genealogical…