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math.DSMay 1, 2008
22
citations (OpenAlex)
authors
  • Stefano Marmi
  • Pierre Moussa
  • Jean-Christophe Yoccoz
institutions
  • CEA Paris-Saclay
  • Collège de France
  • Commissariat à l'Énergie Atomique et aux Énergies Alternatives
  • Institut de Physique Théorique
  • Scuola Normale Superiore
arXiv abstractPDF
paper

Affine interval exchange maps with a wandering interval

arXiv:0805.4737 · doi:10.1112/plms/pdp037

Abstract

For almost all interval exchange maps T_0, with combinatorics of genus g>=2, we construct affine interval exchange maps T which are semi-conjugate to T_0 and have a wandering interval.

43 pages, 1 figure

Cited by in corpus (5)

  • Deviation of ergodic averages for substitution dynamical systems with eigenvalues of modulus one
  • Cascades in the dynamics of affine interval exchange transformations
  • Wandering intervals in affine extensions of self-similar interval exchange maps: the cubic Arnoux-Yoccoz map
  • On the Hausdorff dimension of invariant measures of piecewise smooth circle homeomorphisms
  • Characterization of minimal sequences associated with self-similar interval exchange maps
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