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How often can two independent elephant random walks on $\mathbb{Z}$ meet?
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classification
math.PR
keywords
oftenelephantindependentmathbbmeetrandomwalksasymptotic
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abstract
We show that two independent elephant random walks on the integer lattice $\mathbb{Z}$ meet each other finitely often or infinitely often depends on whether the memory parameter $p$ is strictly larger than $3/4$ or not. Asymptotic results for the distance between them are also obtained.
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