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arXiv · 1910.14091

Measure rigidity of Anosov flows via the factorization method

Asaf Katz
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Abstract

Using the factorization method, a method pioneered by Eskin and Mirzakhani in their groundbreaking work about measure classification over the moduli space of translation surfaces, we show that generalized $u$-Gibbs states over quantitatively non-integrable Anosov systems are absolutely continuous with respect to the whole unstable manifold.

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Asaf Katz. 2019-10-30. Measure rigidity of Anosov flows via the factorization method. https://doi.org/10.1007/s00039-023-00629-8

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