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Original Articles

Renormalization in a class of interval translation maps of d branches

Pages 11-24 | Received 26 Apr 2006, Accepted 22 Sep 2006, Published online: 06 Mar 2007

References

  • Boshernitzan , M and Kornfeld , I . 1995 . Interval translation mappings . Ergodic Theory and Dynamical Systems , 15 : 821 – 831 .
  • Bruin , H and Troubetzkoy , S . 2003 . The Gauss map on a class of interval translation mappings . Israel Journal of Mathematics , 137 : 125 – 148 .
  • Suzuki , H , Ito , S and Aihara , K . 2005 . Double rotations . Discrete and Continuous Dynamical Systems , 13 : 515 – 532 .
  • Keane , M . 1977 . Non-ergodic interval exchange transformations . Israel Journal of Mathematics , 26 : 188 – 196 .
  • Buzzi , J and Hubert , P . 2004 . Piecewise monotone maps without periodic points: Rigidity, measures and complexity . Ergodic Theory and Dynamical Systems , 24 : 383 – 405 .
  • Petersen , K . 1983 . Ergodic Theory , Cambridge : Cambridge University Press .

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