4 papers · 1 filter
Fast approximation of Lyapunov exponents: Beyond the locally constant case
Mark Piraino
We study the problem of estimating the maximal Lyapunov exponent of dominated cocycles. In particular we are concerned with cocycles over Gibbs states on shifts of finite type for…
Transfer operators and limit laws for typical cocycles
Kiho Park, Mark Piraino
We show that typical cocycles (in the sense of Bonatti and Viana) over irreducible subshifts of finite type obey several limit laws with respect to the unique equilibrium states fo…
Single site factors of Gibbs measures
Mark Piraino
It has been an open problem to identify classes of Gibbs measures less regular then Hölder continuous on the full shift which are closed under factor maps. In this article we show…
The weak Bernoulli property for matrix Gibbs states
Mark Piraino
We study the ergodic properties of a class of measures on for which $μ_{\mathcal{A},t}[x_{0}\cdots x_{n-1}]\approx e^{-nP}\left \|A_{x_{0}}\cdots A_{x_{n-1}}\right…