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Oseledets splitting and invariant manifolds on fields of banach spaces

Ghani Varzaneh, M ; Sharif University of Technology | 2023

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  1. Type of Document: Article
  2. DOI: 10.1007/s10884-021-09969-1
  3. Publisher: Springer , 2023
  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. Fields of Banach spaces ; Invariant manifolds ; Oseledets splitting ; Semi-invertible multiplicative ergodic theorem
  8. Source: Journal of Dynamics and Differential Equations ; Volume 35, Issue 1 , 2023 , Pages 103-133 ; 10407294 (ISSN)
  9. URL: https://link.springer.com/article/10.1007/s10884-021-09969-1