Problem 101

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If a $C^1$ Anosov preserves a smooth measure, is it an equilibrium state for $ - \log \lambda ^u ?$

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Hyperbolic
Thermo

Comments

Submitted by Ledrappier on Mon, 11/14/2016 - 17:20

Yes, see [1].

References

  1. [sun2010dominated] Sun W, Tian X.  2010.  Dominated splitting and Pesin's entropy formula. arXiv preprint arXiv:1004.3441.

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