Marco Bertenghi

activity

20202024

most citedFunctional limit theorems for the Multi-dimensional Elephant Random Walk

23 citations · 36 across the 3 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

math.PR2021★ 11 cited

Joint invariance principles for random walks with positively and negatively reinforced steps

Marco Bertenghi, Alejandro Rosales-Ortiz

Given a random walk $(S_{n})$ with typical step distributed according to some fixed law and a fixed parameter $p \in (0, 1)$ , the associated positively step-reinforced random walk is…

math.PR2021★ 2 cited

Asymptotic Normality of Superdiffusive Step-Reinforced Random Walks

Marco Bertenghi

In this article we establish for the superdiffusive regime $p \in (1/2, 1)$ that the fluctuations of a general step-reinforced random walk around $a_{n} W^$ , where $(a_n)_{n \in…