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math.PR2026
On a class of unbalanced step-reinforced random walks
Rafik Aguech, Samir Ben Hariz, Mohamed El Machkouri +1
A step-reinforced random walk is a discrete-time stochastic process with long-range dependence. At each step, with a fixed probability , the so-called positively step-reinforce…
math.PR2025
How two elephants can learn from each other
Rafik Aguech, Shuo Qin
We consider a two-elephant walking model in which the elephants interact dynamically. At each time step, each elephant determines its next move randomly based on its partner's past…