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Record statistics for a discrete-time random walk with correlated steps
Journal article   Open access  Peer reviewed

Record statistics for a discrete-time random walk with correlated steps

Michael J Kearney
Journal of statistical mechanics, Vol.2020(2), 023206
30/05/2019

Abstract

The characterization of record events is considered for a discrete-time random walk model with long-term memory arising from correlations between successive steps. An important feature is that the correlations are strong enough to give rise to super-diffusivity and transience. Various quantities related to record statistics are calculated exactly, highlighting important differences in behaviour from the simple random walk with independent steps.
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Author's Accepted Manuscript Open Access
url
https://doi.org/10.1088/1742-5468/ab6a07View
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