2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.DS2008
Equality of pressures for diffeomorphisms preserving hyperbolic measures
Katrin Gelfert
For a diffeomorphism which preserves a hyperbolic measure the potential is studied. Various types of pressure of are introduced. It is shown…
math.DS2007★ 2 cited
The Lyapunov spectrum of some parabolic systems
Katrin Gelfert, Michal Rams
We study the Hausdorff dimension spectrum for Lyapunov exponents for a class of interval maps which includes several non-hyperbolic situations. We also analyze the level sets of po…
math.DS2007
Topological pressure for one-dimensional holomorphic dynamical systems
Katrin Gelfert, Christian Wolf
For a class of one-dimensional holomorphic maps f of the Riemann sphere we prove that for a wide class of potentials h the topological pressure is entirely determined by the values…