1 citations · 2 across the 8 of their papers we have counts for
Showing 2024Show all
3 papers · 1 filter
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 universal scaling limit for diffusive amnesic step-reinforced random walks
Marco Bertenghi, Lucile Laulin
We introduce a variation of the step-reinforced random walk with general memory. For the diffusive regime, we establish a functional invariance principle and show that, given suita…
math.CO2024
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…