A Dynamical Theory for Singular Stochastic Delay Differential Equations I: Linear Equations and a Multiplicative Ergodic Theorem on Fields of Banach Spaces

Random dynamical systems, rough paths and rough flows

(2017) I. Bailleul et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

A volume-based approach to the multiplicative ergodic theorem on Banach spaces

(2015) Alex Blumenthal   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

A concise proof of the multiplicative ergodic theorem on Banach spaces

(2015) Cecilia González-Tokman et al.   Journal of Modern Dynamics

Pathwise solutions and attractors for retarded SPDEs with time smooth diffusion coefficients

(2014) Björn Schmalfuss et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

A theory of regularity structures

(2014) M. Hairer   INVENTIONES MATHEMATICAE

Exponential growth rate for a singular linear stochastic delay differential equation

(2013) Michael Scheutzow   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

A Milstein-type scheme without Lévy area terms for SDEs driven by fractional Brownian motion

(2012) A. Deya et al.   ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES

Delay equations driven by rough paths

(2012) Andreas Neuenkirch et al.   ELECTRONIC JOURNAL OF PROBABILITY

Ergodicity of the Infinite Dimensional Fractional Brownian Motion

(2011) María J. Garrido-Atienza et al.   Journal of Dynamics and Differential Equations

Rough Burgers-like equations with multiplicative noise

(2011) Martin Hairer et al.   PROBABILITY THEORY AND RELATED FIELDS