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math.PR2019★ 5 cited
Limit theorem for perturbed random walks
Hoang-Long Ngo, Marc Peigne
We consider random walks perturbed at zero which behave like (possibly different) random walks with i.i.d. increments on each half lines and restarts at whenever they cross tha…
math.PR2012★ 1 cited
Return Probabilities for the Reflected Random Walk on
Rim Essifi, Marc Peigné
Let be a sequence of i.i.d. -valued random variables with law . The reflected random walk is defined recursively by $X_0=x \in \mathbb N_0, X_{n+1}=|X…