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math.PR2024
A random walk among random graphs
Nicolas Curien
Lecture notes of a master course given at Orsay between 2019-2024. Topics covered include Part I: One-dimensional random walks, cycle lemma and Bienaymé--Galton--Watson random tree…
math.PR2024
Where do (random) trees grow leaves?
Alessandra Caraceni, Nicolas Curien, Robin Stephenson
We study a model of random binary trees grown "by the leaves" in the style of Luczak and Winkler. If is a uniform plane binary tree of size , Luczak and Winkler, and later…