Equality of pressures for diffeomorphisms preserving hyperbolic measures
Abstract
Description
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.
Accepted for publication in Mathematische Nachrichten
Accepted for publication in Mathematische Nachrichten