Abstract: For partially hyperbolic diffeomorphisms with one-dimensional center direction, we that for every center Lyapunov exponent in the interior of the spectrum (including value 0), every possible entropy value can be achieved by some ergodic measure. Our hypotheses involve minimal foliations and blender-horseshoes. The list of examples our results apply includes fibered-by-circles, flow-type, some Derived from Anosov diffeomorphisms, and some anomalous (non-dynamically coherent) diffeomorphisms. This is joint work with L.J. Díaz, M Rams, and J Zhang.
Full flexibility of entropies among ergodic measures
21.02.2026 09:30 - 10:30
Organiser:
H. Bruin, R. Zweimüller
Location:
SR 07, 2.OG, OMP 1
Location:
Uni Wien