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arXiv · 2206.08534

Disintegrations of non-hyperbolic ergodic measures along the center foliation of DA maps

Ali Tahzibi·Jinhua Zhang
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Abstract

We show that each non-hyperbolic ergodic measure of a partially hyperbolic diffeomorphism on $\mathbb{T}^3$ which is homotopic to Anosov admits a full measure subset which intersects each center leaf in at most two points.

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Ali Tahzibi, Jinhua Zhang. 2022-06-17. Disintegrations of non-hyperbolic ergodic measures along the center foliation of DA maps. https://doi.org/10.1112/blms.12800

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