Attractors of Parikh mapping iterations
CoRR(2024)
Abstract
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.
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