Random recursive trees and the elephant random walk

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Random recursive trees and the elephant random walk.

One class of random walks with infinite memory, so-called elephant random walks, are simple models describing anomalous diffusion. We present a surprising connection between these models and bond percolation on random recursive trees. We use a coupling between the two models to translate results from elephant random walks to the percolation process. We calculate, besides other quantities, exact...

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ژورنال

عنوان ژورنال: Physical Review E

سال: 2016

ISSN: 2470-0045,2470-0053

DOI: 10.1103/physreve.93.032111