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Parikh Mapping and Iteration

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Multiset Processing (WMC 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2235))

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Abstract

The Parikh mapping maps each word over an alphabet with n letters to an n-dimensional vector whose components give the number of occurrences of the letters in the word.We consider the Parikh images of sequences and languages obtained by iterated applications of morphisms (or sets of substitutions). Furthermore we modify the Parikh mapping such that it can be iterated and study the corresponding sequences.

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Author information

Authors and Affiliations

  1. Fakultät für Informatik, Otto-von-Guericke-Universität Magdeburg, PSF 4120, D-39016, Magdeburg

    Jürgen Dassow

Authors
  1. Jürgen Dassow
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Editor information

Editors and Affiliations

  1. Department of Computer Science Center for Discrete Mathematics and Theoretical Computer Science, University of Auckland, Auckland

    Cristian S. Calude

  2. Institute of Mathematics of the Romanian Academy, Romanian

    Gheorghe PĂun

  3. Leiden Institute for Advanced Computer Science, Leiden University, Leiden

    Grzegorz Rozenberg

  4. Turku Center for Computer Science, TUCS, Turku

    Arto Salomaa

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© 2001 Springer-Verlag Berlin Heidelberg

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Dassow, J. (2001). Parikh Mapping and Iteration. In: Calude, C.S., PĂun, G., Rozenberg, G., Salomaa, A. (eds) Multiset Processing. WMC 2000. Lecture Notes in Computer Science, vol 2235. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45523-X_5

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  • DOI: https://doi.org/10.1007/3-540-45523-X_5

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43063-6

  • Online ISBN: 978-3-540-45523-3

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