105 citations · 309 across the 37 of their papers we have counts for
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math.PR2017
On the multi-dimensional elephant random walk
Bernard Bercu, Lucile Laulin
The purpose of this paper is to investigate the asymptotic behavior of the multi-dimensional elephant random walk (MERW). It is a non-Markovian random walk which has a complete mem…
math.PR2017★ 101 cited
A martingale approach for the elephant random walk
Bernard Bercu
The purpose of this paper is to establish, via a martingale approach, some refinements on the asymptotic behavior of the one-dimensional elephant random walk (ERW). The asymptotic…