3 papers
math.DS2026
Lyapunov spectrum of homoclinic classes
Lorenzo J. DÃaz, 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…
math.DS2025
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…
math.DS2025
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…