238 citations · 725 across the 31 of their papers we have counts for
4 papers · 2 filters
Dominated Pesin theory: convex sum of hyperbolic measures
Jairo Bochi, Christian Bonatti, Katrin Gelfert
In the uniformly hyperbolic setting it is well known that the set of all measures supported on periodic orbits is dense in the convex space of all invariant measures. In this paper…
Robust criterion for the existence of nonhyperbolic ergodic measures
Jairo Bochi, Christian Bonatti, Lorenzo J. Díaz
We give explicit -open conditions that ensure that a diffeomorphism possesses a nonhyperbolic ergodic measure with positive entropy. Actually, our criterion provides the exist…
The Scaling Mean and a Law of Large Permanents
Jairo Bochi, Godofredo Iommi, Mario Ponce
In this paper we study two types of means of the entries of a nonnegative matrix: the \emph{permanental mean}, which is defined using permanents, and the \emph{scaling mean}, which…
Ergodic optimization of prevalent super-continuous functions
Jairo Bochi, Yiwei Zhang
Given a dynamical system, we say that a performance function has property P if its time averages along orbits are maximized at a periodic orbit. It is conjectured by several author…