English

The K-Property for Subadditive Equilibrium States

Dynamical Systems 2020-07-07 v3

Abstract

By generalizing Ledrappier's criterion for the KK-property of equilibrium states, we extend the criterion to subadditive potentials. We apply this result to the singular value potentials of matrix cocycles, and show that equilibrium states of large classes of singular value potentials have the KK-property.

Cite

@article{arxiv.2004.13087,
  title  = {The K-Property for Subadditive Equilibrium States},
  author = {Benjamin Call and Kiho Park},
  journal= {arXiv preprint arXiv:2004.13087},
  year   = {2020}
}

Comments

18 pages, corrected a small error in the statement of Theorem C from earlier versions, made some expository changes

R2 v1 2026-06-23T15:08:04.868Z