Empirical processes for recurrent and transient random walks in random scenery

Nadine Guillotin-Plantard, Francoise Pene, Martin Wendler

In this paper, we are interested in the asymptotic behaviour of the sequence of processes $(W_n(s,t){)}_{s,t\in [0,1]}$ with \begin{equation*} W_n(s,t):=\sum_{k=1}^{\lfloor nt\rfloor}…