Antipersistent binary time series
Disordered Systems and Neural Networks
2009-11-07 v1
Abstract
Completely antipersistent binary time series are sequences in which every time that an -bit string appears, the sequence is continued with a different bit than at the last occurrence of . This dynamics is phrased in terms of a walk on a DeBruijn graph, and properties of transients and cycles are studied. The predictability of the generated time series for an observer who sees a longer or shorter time window is investigated also for sequences that are not completely antipersistent.
Cite
@article{arxiv.cond-mat/0109243,
title = {Antipersistent binary time series},
author = {Richard Metzler},
journal= {arXiv preprint arXiv:cond-mat/0109243},
year = {2009}
}
Comments
6 pages, 6 figures