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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…
math.PR2021
Parking on Cayley trees & Frozen Erdös-Rényi
Alice Contat, Nicolas Curien
Consider a uniform rooted Cayley tree with vertices and let cars arrive sequentially, independently, and uniformly on its vertices. Each car tries to park on its ar…
math.PR2020
Sharpness of the phase transition for parking on random trees
Alice Contat
Recently, a phase transition phenomenon has been established for parking on random trees. We extend the results of Curien and Hénard on general Galton--Watson trees and allow diffe…