Return Probabilities for the Reflected Random Walk on ${\mathbb{N}}_0$

Rim Essifi, Marc Peigné

Let $(Y_n)$ be a sequence of i.i.d. $\mathbb{Z}$-valued random variables with law $\mu$. The reflected random walk $(X_n)$ is defined recursively by $X_0=x \in \mathbb N_0, X_{n+1}=|X…