4 citations · 7 across the 7 of their papers we have counts for
7 papers
Lyapunov spectrum of homoclinic classes
Lorenzo J. Díaz, Katrin Gelfert, Xiaodong Wang +1
We study the Lyapunov spectrum of the ergodic measures of isolated homoclinic classes of -generic diffeomorphisms. We show that this spectrum has nonempty interior and that an…
Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems
Douglas Coates, Katrin Gelfert
We consider one dimensional maps with several neutral fixed points that do not admit any physical measures. We show that there is simplex of measures so that every measure in this…
Equilibrium states by synchronization, symbolic extensions, and factors
Katrin Gelfert, Dominik Kwietniak, Yuri Lima
We combine the two classical topological concepts, time-preserving topological factors and synchronizing time-changes of a continuous flow, and explore some of their thermodynamic…
Synchronization rates and limit laws for random dynamical systems
Katrin Gelfert, Graccyela Salcedo
We study general random dynamical systems of continuous maps on some compact metric space. Assuming a local contraction condition and uniqueness of the stationary measure, we estab…
Variational principle for nonhyperbolic ergodic measures: Skew products and elliptic cocycles
Lorenzo J. Díaz, Katrin Gelfert, Michał Rams
For a large class of transitive non-hyperbolic systems, we construct nonhyperbolic ergodic measures with entropy arbitrarily close to its maximal possible value. The systems we con…
Geodesic flows modeled by expansive flows: Compact surfaces without conjugate points and continuous Green bundles
Rafael O. Ruggiero, Katrin Gelfert
We study the geodesic flow of a compact surface without conjugate points and genus greater than one and continuous Green bundles. Identifying each strip of bi-asymptotic geodesics…