3 papers
math.ST2025
Measure estimation on a manifold explored by a diffusion process
Vincent Divol, Hélène Guérin, Dinh-Toan Nguyen +1
From the observation of a diffusion path on a compact connected -dimensional manifold without boundary, we consider the problem of estimating…
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.PR2024
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…