Recurrence of the plane Elephant random walk

2023/10/16 by Nicolas Curien, Curien, Nicolas, Lucile Laulin +1 · 1 voice · 3 citations
Mathematics · Physics and Astronomy · #Fractional Differential Equations Solutions #Stochastic processes and statistical mechanics #Advanced Thermodynamics and Statistical Mechanics

paper · pdf · doi:10.48550/arxiv.2310.10314

Abstract

We give a short proof of the recurrence of the two-dimensional elephant random walk in the diffusive regime. This was recently established by Shuo Qin, but our proof only uses very rough comparison with the standard plane random walk. We hope that the method can be useful for other applications.

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Discussions

• Formule mathématique (probabilités) In: arxiv.org/pdf/2310.10314 [bsky, 13 points, 0 comments]

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