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Oseledets splitting and invariant manifolds on fields of banach spaces

Ghani Varzaneh, M. M ; Sharif University of Technology | 2021

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  1. Type of Document: Article
  2. DOI: 10.1007/s10884-021-09969-1
  3. Publisher: Springer , 2021
  4. Abstract:
  5. We prove a semi-invertible Oseledets theorem for cocycles acting on measurable fields of Banach spaces, i.e. we only assume invertibility of the base, not of the operator. As an application, we prove an invariant manifold theorem for nonlinear cocycles acting on measurable fields of Banach spaces. © 2021, The Author(s)
  6. Keywords:
  7. Semi-invertible multiplicative ergodic theorem ; Oseledets splitting ; Fields of Banach spaces ; Invariant manifolds
  8. Source: Journal of Dynamics and Differential Equations ; 2021 ; 10407294 (ISSN)
  9. URL: https://link.springer.com/article/10.1007/s10884-021-09969-1