2 papers
math.PR2026
Rémy's diffusion on Brownian trees
Nicolas Curien, Cyril Marzouk
Rémy's algorithm is a famous recursive construction of uniform random binary trees of growing size by a local grafting operation. In this work we construct a continuous version, a…
math.PR2025
Random Lévy Looptrees and Lévy Maps
Igor Kortchemski, Cyril Marzouk
What is the analogue of Lévy processes for random surfaces? Motivated by scaling limits of random planar maps in random geometry, we introduce and study Lévy looptrees and Lévy…