The speed of a general random walk reinforced by its recent history

Published 7 Sep 2017 in math.PR | (1709.02215v2)

Abstract: We consider several variants of a class of random walks whose increment distributions depend on the average value of the process over its most recent $N$ steps. We investigate the speed of the process, and in particular, the limiting speed as the "history window" $N\to\infty$.

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Ross G. Pinsky

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