Fiber bunching and cohomology for Banach cocycles over hyperbolic systems
| Autor: | Sadovskaya, Victoria |
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| Rok vydání: | 2016 |
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| Druh dokumentu: | Working Paper |
| Popis: | We consider Holder continuous cocycles over hyperbolic dynamical systems with values in the group of invertible bounded linear operators on a Banach space. We show that two fiber bunched cocycles are Holder continuously cohomologous if and only if they have Holder conjugate periodic data. The fiber bunching condition means that non-conformality of the cocycle is dominated by the expansion and contraction in the base system. We show that this condition can be established based on the periodic data of a cocycle. We also establish Holder continuity of a measurable conjugacy between a fiber bunched cocycle and one with values in a set which is compact in strong operator topology. Comment: 16 pages. arXiv admin note: text overlap with arXiv:1307.3196 |
| Databáze: | arXiv |
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