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math.PR2024
On the limit law of the superdiffusive elephant random walk
Hélène Guérin, Lucile Laulin, Kilian Raschel +1
When the memory parameter of the elephant random walk is above a critical threshold, the process becomes superdiffusive and, once suitably normalised, converges to a non-Gaussian r…
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 . Our main focus is the limiting random variable appearing in the superdiffusive regime. Building on a link betwee…
math.PR2022
Strong uniform convergence of Laplacians of random geometric and directed kNN graphs on compact manifolds
Hélène Guérin, Dinh-Toan Nguyen, Viet-Chi Tran
Consider points independently sampled from a density of class on a smooth compact -dimensional sub-manifold of , and consider…