Lucile Laulin

activity

20172025

most citedIntroducing smooth amnesia to the memory of the Elephant Random Walk

1 citations · 2 across the 8 of their papers we have counts for

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Showing 2023 · math.PRShow all

2 papers · 2 filters

math.PR2023★ 1 cited

Recurrence of the plane Elephant random walk

Nicolas Curien, Lucile Laulin

We give a short proof of the recurrence of the two-dimensional elephant random walk in the diffusive regime. This was recently established by Shuo Qin, but our proof only uses very…

math.PR2023

A fixed-point equation approach for the superdiffusive elephant random walk

Hélène Guérin, Lucile Laulin, Kilian Raschel

We study the elephant random walk in arbitrary dimension $d \geq 1$ . Our main focus is the limiting random variable appearing in the superdiffusive regime. Building on a link betwee…