@article{Baur2019OnAC,
title={On a Class of Random Walks with Reinforced Memory},
author={E. Baur},
journal={Journal of Statistical Physics},
year={2019},
pages={1-31}
}

This paper deals with different models of random walks with a reinforced memory of preferential attachment type. We consider extensions of the Elephant Random Walk introduced by Schütz and Trimper (Phys Rev E 70:044510(R), 2004) with stronger reinforcement mechanisms, where, roughly speaking, a step from the past is remembered proportional to some weight and then repeated with probability p . With probability $$1-p$$ 1 - p , the random walk performs a step independent of the past. The weight of… Expand