30 citations · 89 across the 22 of their papers we have counts for
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math.PR2017
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 with \begin{equation*} W_n(s,t):=\sum_{k=1}^{\lfloor nt\rfloor}…
math.DS2017
Potential kernel, hitting probabilities and distributional asymptotics
Francoise Pene, Damien Thomine
Z^d-extensions of probability-preserving dynamical systems are themselves dynamical systems preserving an infinite measure, and generalize random walks. Using the method of moments…