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Combinatorial Dynamics and an Elementary Proof of the Continuity of the Topological Entropy at θ =101, in the Milnor Thurston World

  • Solange AranzubíaEmail author
  • Rafael Labarca
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 54)

Abstract

In the present paper we deal with the Milnor-Thurston world and we present elementary proofs of some results by combining dynamics, combinatory, linear algebra and entropy.

Keywords

Periodic Orbit Characteristic Polynomial Incidence Matrix Technical Lemma Topological Entropy 
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.

Notes

Acknowledgements

Part of this paper is an outgrowth of research during a visit of the authors to IMPA (Brazil). The authors were partially supported by DICYT – USACH (Chile), PCI – IMPA (Brazil) and by the Dirección de Graduados of the USACH. We thanks IMPA and USACH for its support while preparing the present paper.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Departamento de Matemática y Ciencia de la ComputaciónUniversidad de Santiago de Chile (USACH)SantiagoChile

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