English

Bernoulli property of subadditive equilibrium states

Dynamical Systems 2023-09-29 v2

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.

Keywords

Cite

@article{arxiv.2109.10721,
  title  = {Bernoulli property of subadditive equilibrium states},
  author = {Benjamin Call and Kiho Park},
  journal= {arXiv preprint arXiv:2109.10721},
  year   = {2023}
}

Comments

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