1 citations · 1 across the 4 of their papers we have counts for
5 papers
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…
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…
Elephant polynomials
Hélène Guérin, Lucile Laulin, Kilian Raschel
In this note, we study a family of polynomials that appear naturally when analysing the characteristic functions of the one-dimensional elephant random walk. These polynomials depe…
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…
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…