Moments of the superdiffusive elephant random walk with general step distribution

Published 30 Nov 2021 in math.PR | (2112.00066v2)

Abstract: We consider the elephant random walk with general step distribution. We calculate the first four moments of the limiting distribution of the position rescaled by $n^\alpha$ in the superdiffusive regime where $\alpha$ is the memory parameter. This extends the results obtained by Bercu.

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