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Articles

Topological entropy of transitive maps of the interval

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Pages 535-544 | Received 19 Aug 2014, Accepted 10 Mar 2015, Published online: 23 Apr 2015

References

  • R.L. Adler, A.G. Konheim, and M.H. McAndrew, Topological entropy, Trans. Amer. Math. Soc. 114(2) (1965), pp. 309–319. doi:10.1090/S0002-9947-1965-0175106-9.
  • L. Alsedà, J. Llibre, and M. Misiurewicz, Combinatorial dynamics and entropy in dimension one, 2nd ed., Vol. 5 of advanced series in nonlinear dynamics, World Scientific Publishing Co. Inc., River Edge, NJ, 2000.
  • A. Berman, and R.J. Plemmons, Nonnegative matrices in the mathematical sciences, Academic Press, New York, 1979.
  • L.S. Block, and W.A. Coppel, Dynamics in one dimension, Vol. 1513 of lecture notes in mathematics, Springer-Verlag, Berlin, 1992.
  • L. Block, and E. Coven, Approximating entropy of maps of the interval, in Dynamical Systems and Ergodic Theory, Banach Center Publications, 23, Polish Scientific Publishers, Warsaw, 1989, pp. 237–242.
  • K.M. Brucks, and H. Bruin, Topics in one-dimensional dynamics, Vol. 62 of London Mathematical Society student texts, Cambridge University Press, Cambridge, UK, 2004.
  • S. Kolyada, and J. Semikina, On topological entropy: when positivity implies +infinity, Proc. Amer. Math. Soc. 143(4) (2015), pp. 1545–1558.
  • M. Misiurewicz, Horseshoes for mappings of an interval, Bull. Acad. Pol. Ser. Sci. Math. 27 (1979), pp. 167–169.
  • M. Misiurewicz, and Z. Nitecki, Combinatorial patterns for maps of the interval, Mem. Amer. Math. Soc. 94(456) (1991), pp. vi+112.

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