Bernoulli property of subadditive equilibrium states

Abstract

Under mild assumptions, we show that the unique subadditive equilibrium states for fiber-bunched cocycles are Bernoulli. We achieve this by showing these equilibrium states are absolutely continuous with respect to a product measure, and then using the Kolmogorov property of these measures.

arXiv commentSomewhat significant revisions, placing the K to Bernoulli results most generally in the setting of Smale spaces. 30 pages