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

Michael J. Kearney

Published 2019-05-30Version 1

The characterization of record events in a discrete-time random walk model with correlated steps is considered, where the correlations are strong enough to give rise to super-diffusivity and transience. The construct of the model allows various quantities related to record statistics to be calculated exactly, highlighting important differences in behaviour from the simple random walk with independent steps.