Self-similar Markov trees

par Armand Riera (LPSM)

jeudi 9 avr. 2026, 14:00 → 15:00 Europe/Paris

435 (ENS)

The aim of this talk is to present recent work, carried out in collaboration with Jean Bertoin and Nicolas Curien, in which we introduce self-similar Markov trees. These trees form a remarkable family of compact random real trees, each endowed with a positive function. The self-similar Markov trees encompass a wide variety of random real trees studied over the past decades, such as the Brownian tree, stable Lévy trees, Haas-Miermont fragmentation trees, and growth-fragmentation trees. They also arise as scaling limits of various combinatorial models: random walk excursions, Galton–Watson trees, random maps (with or without statistical-physics models), random hyperbolic geometries, and more.