238 citations · 725 across the 31 of their papers we have counts for
43 papers
Spectrum maximizing products are not generically unique
Jairo Bochi, Piotr Laskawiec
It is widely believed that typical finite families of matrices admit finite products that attain the joint spectral radius. This conjecture is supported by computation…
The Halász-Székely Barycenter
Jairo Bochi, Godofredo Iommi, Mario Ponce
We introduce a notion of barycenter of a probability measure related to the symmetric mean of a collection of nonnegative real numbers. Our definition is inspired by the work of Ha…
On Emergence and Complexity of Ergodic Decompositions
Pierre Berger, Jairo Bochi
A concept of emergence was recently introduced in the paper [Berger] in order to quantify the richness of possible statistical behaviors of orbits of a given dynamical system. In t…
Extremal Norms for Fiber Bunched Cocycles
Jairo Bochi, Eduardo Garibaldi
In traditional Ergodic Optimization, one seeks to maximize Birkhoff averages. The most useful tool in this area is the celebrated Mañé Lemma, in its various forms. In this paper, w…
Ergodic optimization of Birkhoff averages and Lyapunov exponents
Jairo Bochi
Ergodic optimization is the study of extremal values of asymptotic dynamical quantities such as Birkhoff averages or Lyapunov exponents, and of the orbits or invariant measures tha…
Equilibrium states of generalised singular value potentials and applications to affine iterated function systems
Jairo Bochi, Ian D. Morris
We completely describe the equilibrium states of a class of potentials over the full shift which includes Falconer's singular value function for affine iterated function systems wi…