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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.…
math.PR2024
Axis-Driven Random Walks on (transient cases)
Pierre Andreoletti
Axis-driven random walks were introduced by P. Andreoletti and P. Debs [AD23] to provide a rough description of the behaviour of a particle trapped in a localized force field. In c…