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math.PR2025
Elephants explore in spirals sometimes
Lucile Laulin, Bastien Mallein
We consider in this article an Elephant Random Walk evolving in the plane. Specifically, this is a reinforced stochastic process in which the th step is given by a random rotati…
math.PR2025
Parking on the Random Recursive Tree
Alice Contat, Lucile Laulin
We study the parking process on the random recursive tree. We first prove that although the random recursive tree has a non-degenerate Benjamini--Schramm limit, the phase transitio…