Problem 97

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Example of a non-ergodic $C^1$ Anosov diffeo on $\mathbb{T}^2$ preserving Lebesgue measure.

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Hyperbolic

Comments

Submitted by Ledrappier on Mon, 11/14/2016 - 17:14

Not the answer, but related, see [1].

References

  1. [kosloff2014conservative] Kosloff Z.  2014.  Conservative Anosov diffeomorphisms of the two torus without an absolutely continuous invariant measure. arXiv preprint arXiv:1410.7707.

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