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Graphs of difference operators for p-ary sequences

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Functional Analysis and Other Mathematics

Abstract

For a given prime p and positive integer n, we consider the graph G n of the difference operator acting on p-ary sequences of length n. We suggest new proofs of some results of V.I. Arnold on the graph G n and the complexity of sequences and obtain new results for the length of a maximal cycle in the general case of p-ary sequences. We also provide estimates for the number of complicated sequences.

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References

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Authors and Affiliations

  1. Steklov Mathematical Institute, 8 Gubkina St., Moscow, 119991, Russia

    Alexey I. Garber

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  1. Alexey I. Garber
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Correspondence to Alexey I. Garber.

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Garber, A.I. Graphs of difference operators for p-ary sequences. Funct. Anal. Other Math. 1, 159–173 (2006). https://doi.org/10.1007/s11853-007-0011-y

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  • DOI: https://doi.org/10.1007/s11853-007-0011-y

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