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Farhad Jafarpour Hamadani

Farhad Jafarpour Hamadani

Academic rank: Professor
ORCID:
Education: PhD.
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HIndex:
Faculty: Faculty of Science
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Research

Title
The Impact of Random Memory Resetting on a non-Markovian Random Walk‎
Type
JournalPaper
Keywords
non-Markovian process, Resetting, Moments, Gaussian distribution
Year
2023
Journal مجله پژوهش فیزیک ایران
DOI
Researchers ، Farhad Jafarpour Hamadani

Abstract

In this study, we present a discrete-time non-Markov process, referred to as an Elephant Random Walk, implemented on an infinite one-dimensional lattice, with the inclusion of random memory resetting. Upon each random resetting event, the walker completely loses its memory. Through analytical calculations, we determine the moments of displacement in the presence of random resetting. Our findings demonstrate that the process does not attain a steady state. However, the long-time behavior of the moments reveals that, under specific conditions, the displacement distribution follows a Gaussian distribution. By manipulating the resetting mechanism, the transition from diffusive to superdiffusive behavior, or vice versa, can be induced in the process.