238 citations · 725 across the 31 of their papers we have counts for
4 papers · 1 filter
The entropy of Lyapunov-optimizing measures of some matrix cocycles
Jairo Bochi, Michał Rams
We consider one-step cocycles of matrices, and we are interested in their Lyapunov-optimizing measures, i.e., invariant probability measures that maximize or minimize…
Continuity properties of the lower spectral radius
Jairo Bochi, Ian D. Morris
The lower spectral radius, or joint spectral subradius, of a set of real matrices is defined to be the smallest possible exponential growth rate of long products of ma…
Generic linear cocycles over a minimal base
Jairo Bochi
We prove that a generic linear cocycle over a minimal base dynamics of finite dimension has the property that the Oseledets splitting with respect to any invariant probability coin…
Almost reduction and perturbation of matrix cocycles
Jairo Bochi, Andrés Navas
In this note, we show that if all Lyapunov exponents of a matrix cocycle vanish, then it can be perturbed to become cohomologous to a cocycle taking values in the orthogonal group.…