Record statistics for a discrete-time random walk with correlated steps
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.
- Publication:
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Journal of Statistical Mechanics: Theory and Experiment
- Pub Date:
- February 2020
- DOI:
- 10.1088/1742-5468/ab6a07
- arXiv:
- arXiv:1905.13013
- Bibcode:
- 2020JSMTE..02.3206K
- Keywords:
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- Condensed Matter - Statistical Mechanics;
- Mathematics - Probability
- E-Print:
- Updated version as published