A. Darwiche

activity

20192022

most citedExtremes for transient random walks in random sceneries under weak independence conditions

3 citations · 3 across the 4 of their papers we have counts for

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Showing 2022 · math.PRShow all

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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 $(S_{n})_{n \geq 0}$ in $Z$ and a stationary sequence of real random variables $(ξ (s))_{s \in Z}$ , we investigate the extremes of…

math.PR2022

Some properties on extremes for transient random walks in random sceneries

Nicolas Chenavier, Ahmad Darwiche

Let $(S_{n})_{n \geq 0}$ be a transient random walk in the domain of attraction of a stable law and let $(ξ (s))_{s \in Z}$ be a stationary sequence of random variables. In a…

math.PR2022

Point processes of exceedances for random walks in random sceneries

Ahmad Darwiche

Let ${ξ (k), k \in Z}$ be a stationary sequence of random variables and let ${S_{n}, n \in N_{+}}$ be a transient random walk in the domain of attraction of a st…