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Israel Journal of Mathematics

, Volume 224, Issue 1, pp 293–314 | Cite as

Many intermingled basins in dimension 3

  • Christian Bonatti
  • Rafael Potrie
Article

Abstract

We construct a diffeomorphism of T3 admitting any finite or countable number of physical measures with intermingled basins. The examples are partially hyperbolic with splitting TT3 = E cs E u and can be made volume hyperbolic and topologically mixing.

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Copyright information

© Hebrew University of Jerusalem 2018

Authors and Affiliations

  1. 1.CNRS - IMB. UMR 5584Université de BourgogneDijonFrance
  2. 2.CMAT, Facultad de CienciasUniversidad de la RepúblicaMontevideoUruguay

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