Bernoulli property of subadditive equilibrium states
Benjamin Call, Kiho Park
TL;DR
This paper proves that under certain conditions, subadditive equilibrium states for fiber-bunched cocycles are Bernoulli, indicating strong statistical randomness.
Contribution
It establishes the Bernoulli property for subadditive equilibrium states, a result not previously known for this class of systems.
Findings
Subadditive equilibrium states are Bernoulli under mild assumptions.
These states are absolutely continuous with respect to a product measure.
The Bernoulli property is derived using the Kolmogorov property of these measures.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsEconomic theories and models · Advanced Thermodynamics and Statistical Mechanics · Game Theory and Applications