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Ghani Varzaneh, Mazyar [Author]; Riedel, Sebastian [Author]

A dynamical theory for singular stochastic delay differential equations II: Nonlinear equations and invariant manifolds - [published Version]

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  • Media type: E-Book; Report; Text
  • Title: A dynamical theory for singular stochastic delay differential equations II: Nonlinear equations and invariant manifolds
  • Contributor: Ghani Varzaneh, Mazyar [Author]; Riedel, Sebastian [Author]
  • imprint: Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2020
  • Issue: published Version
  • Language: English
  • DOI: https://doi.org/10.34657/8389; https://doi.org/10.20347/WIAS.PREPRINT.2701
  • ISSN: 2198-5855
  • Keywords: Random dynamical systems ; stochastic delay differential equations ; stable and unstable manifolds ; rough paths
  • Origination:
  • Footnote: Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
  • Description: Building on results obtained in [GVRS], we prove Local Stable and Unstable Manifold Theorems for nonlinear, singular stochastic delay differential equations. The main tools are rough paths theory and a semi-invertible Multiplicative Ergodic Theorem for cocycles acting on measurable fields of Banach spaces obtained in [GVR].
  • Access State: Open Access