Equality of pressures for diffeomorphisms preserving hyperbolic measures

Details Equality of pressures for diffeomorphisms preserving hyperbolic measures Equality of pressures for diffeomorphisms preserving hyperbolic measures

2008-03-11

arxiv.org/abs/0803.1525v1

Mathematics

Dynamical Systems

Accepted for publication in Mathematische Nachrichten

Scientific paper

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

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