3 papers
math.DS2020
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…
math.DS2019
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…
math.DS2018
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…