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How often can two independent elephant random walks on mathbb{Z} meet?

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arxiv 2404.13490 v1 pith:EBHULVUL submitted 2024-04-21 math.PR

How often can two independent elephant random walks on mathbb{Z} meet?

classification math.PR
keywords oftenelephantindependentmathbbmeetrandomwalksasymptotic
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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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