Browsing by Author "Ghani Varzaneh, Mazyar"
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- ItemA dynamical theory for singular stochastic delay differential equations II: Nonlinear equations and invariant manifolds(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2020) Ghani Varzaneh, Mazyar; Riedel, SebastianBuilding 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].