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math.PR2025
Local limits of conditioned marked Galton Watson trees
Romain Abraham, Sonia Boulal, Pierre Debs
We consider a Galton-Watson tree where each node is marked independently of each others with a probability depending on its outdegree. We give a complete picture of the local conve…
math.PR2025
Sub-diffusive behavior of a recurrent Axis-Driven Random Walk
Pierre Andreoletti, Pierre Debs
We study the second order of the number of excursions of a simple random walk with a bias that drives a return toward the origin along the axes introduced by P. Andreoletti and P.…