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Original Articles

Expanding Periodic Orbits with Small Exponents

Pages 337-341 | Published online: 17 Sep 2010

  • Bowen , R. 1975 . Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms , Lecture Notes in Mathematics Vol. 470 , Berlin/New York : Springer-Verlag .
  • Chung , Y. M. 2001 . Topological entropy for differentiable maps of intervals . Osaka J. Math. , 38 : 1 – 12 .
  • Y. M. Chung Metric entropy and horseshoe for C1 maps, preprint.
  • Y. M. Chung and M. Hirayama, Topological entropy and periodic orbits of saddle type for surface diffeomorphisms, preprint.
  • Katok , A. and Mezhirov , A. 1998 . Entropy and growth of expanding periodic orbits for one-dimensional maps . Fund. Math. , 157 : 245 – 254 .
  • Ruelle , D. 1978 . An inequality for the entropy of differentiable maps . BoI. Soc. Brasil. Math. , 9 : 83 – 87 .
  • Takahashi , Y. 1984 . Entropy functional (free energy) for dynamical systems and their random perturbations, Stochastic analysis (Katata/Kyoto, 1982) , North-Holland Math. Library Vol. 32 , 437 – 467 . Amsterdam : North-Holland .
  • Walters , P. 1982 . An Introduction to Ergodic Theory Graduate Texts in Mathematics , Vol.79 , New York/Berlin : Springer-Verlag .

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