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arXiv · 0803.1525

Equality of pressures for diffeomorphisms preserving hyperbolic measures

Katrin Gelfert
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Abstract

For a diffeomorphism which preserves a hyperbolic measure the potential $ϕ^u=-\log|{\rm Jac} df|_{E^u}|$ is studied. Various types of pressure of $ϕ^u$ are introduced. It is shown that these pressures satisfy a corresponding variational principle.

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Katrin Gelfert. 2008-03-11. Equality of pressures for diffeomorphisms preserving hyperbolic measures. https://arxiv.org/abs/0803.1525

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