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arXiv · 2003.11918

Partially volume expanding diffeomorphisms

Shaobo Gan·Ming Li·Marcelo Viana·Jiagang Yang
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Abstract

We call a partially hyperbolic diffeomorphism \emph{partially volume expanding} if the Jacobian restricted to any hyperplane that contains the unstable bundle $E^u$ is larger than $1$. This is a $C^1$ open property. We show that any $C^{1+}$ partially volume expanding diffeomorphisms admits finitely many physical measures, the union of whose basins has full volume.

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Shaobo Gan, Ming Li, Marcelo Viana, Jiagang Yang. 2020-03-26. Partially volume expanding diffeomorphisms. https://doi.org/10.1007/s00023-020-00981-7

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