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Polynomial dynamical systems associated with substitutions

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1794)

Abstract

It is natural, in many situations related to physics or geometry, to study representations of the free group with values in SL(2,ℂ). Conjugate representations just differ by a change of coordinates, so one should be interested in quantities invariant by conjugacy; the trace is one such quantity, so that, for a representation ø, one is interested in studying tr ø(W), for an element W of the free group.

Keywords

  • Polynomial Identity
  • Free Subgroup
  • Free Monoid
  • Cyclic Reduction
  • Compact Torus

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.

This chapter has been written by J. Peyrière

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© 2002 Springer-Verlag Berlin Heidelberg

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(2002). Polynomial dynamical systems associated with substitutions. In: Fogg, N.P., Berthé, V., Ferenczi, S., Mauduit, C., Siegel, A. (eds) Substitutions in Dynamics, Arithmetics and Combinatorics. Lecture Notes in Mathematics, vol 1794. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45714-3_10

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  • DOI: https://doi.org/10.1007/3-540-45714-3_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44141-0

  • Online ISBN: 978-3-540-45714-5

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