Antipersistent binary time series

Details Antipersistent binary time series Antipersistent binary time series

2001-09-13

arxiv.org/abs/cond-mat/0109243v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 6 figures

Scientific paper

10.1088/0305-4470/35/3/316

Completely antipersistent binary time series are sequences in which every time that an $N$-bit string $\mu$ appears, the sequence is continued with a different bit than at the last occurrence of $\mu$. 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.

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