Attractors of Parikh mapping iterations
<|reference_start|>Attractors of Parikh mapping iterations: Three types of the Parikh mapping are introduced, namely, alphabetic, alphabetic-basis and basis. Explicit expressions for attractors of the k-th order in bases n >= 8, including countable ones, are found. Properties for the alphabetic, alphabetic-basis and basis Parikh vectors are given at each step of the Parikh mapping. The maximum number of iterations leading to attractors of the k-th order in the basis n is determined.<|reference_end|>
@article{chunikhin2024attractors,
    title={Attractors of Parikh mapping iterations},
    author={Alexander Chunikhin},
    journal={arXiv preprint arXiv:2402.14932},
    year={2024},
    number={PIBNASU-02/24},
    archivePrefix={arXiv},
    eprint={2402.14932},
    primaryClass={cs.LO cs.FL}
}