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math.PR2022
Compound Poisson approximation for simple transient random walks in random sceneries
Nicolas Chenavier, Ahmad Darwiche, Arnaud Rousselle
Given a simple transient random walk in and a stationary sequence of real random variables , we investigate the extremes of…
math.PR2022★ 2 cited
The longest edge of the one-dimensional soft random geometric graph with boundaries
Arnaud Rousselle, Ercan Sönmez
The object of study is a soft random geometric graph with vertices given by a Poisson point process on a line and edges between vertices present with probability that has a polynom…