Symbolic Dynamics

  • Luís BarreiraEmail author
  • Claudia Valls
Part of the Problem Books in Mathematics book series (PBM)


In this chapter we consider various topics of symbolic dynamics, with emphasis on their relation to hyperbolic dynamics. This includes expanding maps, the Smale horseshoe, and its modifications. We also consider topological Markov chains and their periodic points, irreducible and transitive matrices, topological transitivity, and topological mixing as well as the notion of topological entropy. We refer the reader to [16, 33, 34] for additional topics.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Instituto Superior TécnicoUniversidade de LisboaLisbonPortugal
  2. 2.Instituto Superior TécnicoUniversidade de LisboaLisbonPortugal

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