26 citations · 78 across the 27 of their papers we have counts for
36 papers
Full flexibility of entropies among ergodic measures for partially hyperbolic diffeomorphisms
Lorenzo J. Díaz, Katrin Gelfert, Michal Rams +1
We study nonhyperbolic and transitive partially hyperbolic diffeomorphisms having a one-dimensional center. We prove joint flexibility with respect to entropy and center Lyapunov e…
Heterodimensional cycles of hyperbolic ergodic measures
Christian Bonatti, Lorenzo J. Diaz, Katrin Gelfert
We introduce the concept of a heterodimensional cycle of hyperbolic ergodic measures and a special type of them that we call rich. Within a partially hyperbolic context, we prove t…
The amount of nonhyperbolicity for partially hyperbolic diffeomorphisms
Lorenzo J. Díaz, Katrin Gelfert, Jinhua Zhang
We study the amount of nonhyperbolicity within a broad class of (nonhyperbolic) partially hyperbolic diffeomorphisms with a one-dimensional center. For that, we focus on the center…
Loosely Bernoulli zero exponent measures for elliptic matrix cocycles
L. J. Díaz, K. Gelfert, M. Rams
For an open and dense subset of elliptic matrix cocycles, we construct a family of loosely Bernoulli ergodic measures with zero top Lyapunov exponent. This…
Exceptional sets for geodesic flows of noncompact manifolds
Katrin Gelfert, Felipe Riquelme
For a geodesic flow on a negatively curved Riemannian manifold and some subset , we study the limit -exceptional set, that is the set of points whose -limi…
Contracting on average iterated function systems by metric change
Katrin Gelfert, Graccyela R. Salcedo
We study contraction conditions for an iterated function system of continuous maps on a metric space which are chosen randomly, identically and independently. We investigate metric…