Abstract
Ordinal patterns bring in the dynamic novel aspects, difficult questions, and useful tools for entropy estimation, time series analysis and other applications. In [Amigó et al., 2008a], the structure of the ordinal patterns of the one- and two-sided shifts on N symbols was elucidated with great detail. The results are applied via order isomorphy to the ordinal structure of the sawtooth maps x ↦ Nx mod 1 and the baker map. In this paper, we generalize the technique employed there, to cope with the so-called signed shifts on N symbols and signed sawtooth maps.
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