6 papers
Complete regularity of linear cocycles and the Baire category of the set of Lyapunov-Perron regular points
Jairo Bochi, Yakov Pesin, Omri Sarig
Given a continuous linear cocycle A over a homeomorphism f of a compact metric space X, we investigate its set R of Lyapunov-Perron regular points, that is, the collection of traje…
A Poincaré-Bendixson theorem for Bebutov shifts and applications to switched systems
Jairo Bochi, Ian D. Morris
We prove a version of the Poincaré-Bendixson theorem for certain classes of curves on the 2-sphere which are not required to be the trajectories of an underlying flow or semiflow…
On the distribution of the angle between Oseledets spaces
Jairo Bochi, Pablo Lessa
We study the distribution of the angles between Oseledets subspaces and their log-integrability, focusing on dimension . For random i.i.d. products of matrices, we construct exa…
Removing quasiconformal orbits
Jairo Bochi
We show that generic continuous linear cocycles over shifts and other zero-dimensional systems admit no quasiconformal orbits, thus providing a partial answer to a question of Nass…
An isolated Lyapunov exponent
Jairo Bochi
We construct a continuous linear cocycle over an expanding base dynamics for which the Lyapunov exponents of all ergodic invariant probability measures are small, except for one me…
Monochromatic nonuniform hyperbolicity
Jairo Bochi
We construct examples of continuous -cocycles which are not uniformly hyperbolic despite having the same non-zero Lyapunov exponents with respect to all…