2 citations · 2 across the 9 of their papers we have counts for
4 papers · 1 filter
Invariant manifolds and stability for rough differential equations
Mazyar Ghani Varzaneh, Sebastian Riedel
We prove the existence of local stable, unstable, and center manifolds for stochastic semiflows induced by rough differential equations driven by rough paths valued stochastic proc…
A general center manifold theorem on fields of Banach spaces
Mazyar Ghani Varzaneh, Sebastian Riedel
A general local center manifold theorem around stationary trajectories is proved for nonlinear cocycles acting on measurable fields of Banach spaces.
An integrable bound for rough stochastic partial differential equations with applications to invariant manifolds and stability
Mazyar Ghani Varzaneh, Sebastian Riedel
We study semilinear rough stochastic partial differential equations as introduced in [Gerasimovi{č}s, Hairer; EJP 2019]. We provide -integrable a priori bounds fo…
Introduction to rough paths theory
Mazyar Ghani Varzaneh, Sebastian Riedel
These notes are an extended version of the course "Introduction to rough paths theory" given at the XXV Brazilian School of Probability in Campinas in August 2022. Their aim is to…