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Dynamical Systems Arising from Substitutions

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1294)

Abstract

In this chapter, and in the two forthcoming chapters, we are dealing with particular sequences, generated by a substitution on a finite alphabet (substitutive and automatic sequences). There exist a lot of contributions around these sequences, many of which are concerned with their combinatorial and arithmetical properties, others with the properties of the associated topological system and more recently, geometric aspects have been intensively studied. J.P. Allouche and J. Shallit have devoted a substantial book to Automatic Sequences [14] while all recent results on substitutions have been gathered in an impressive collective work [88].

Keywords

  • Periodic Point
  • Nonnegative Matrice
  • Unique Ergodicity
  • Positive Eigenvector
  • Primitive Substitution

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Correspondence to Martine Queffélec .

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© 2010 Springer-Verlag Berlin Heidelberg

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Queffélec, M. (2010). Dynamical Systems Arising from Substitutions. In: Substitution Dynamical Systems - Spectral Analysis. Lecture Notes in Mathematics(), vol 1294. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11212-6_5

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