In this work, four problems for stochastic fractional pseudo-parabolic containing bounded
and unbounded delays are investigated. The fractional derivative and the stochastic noise …

Ergodicity of the Infinite Dimensional Fractional Brownian Motion Page 1 J Dyn Diff Equat (2011)
23:671–681 DOI 10.1007/s10884-011-9222-5 Ergodicity of the Infinite Dimensional Fractional …

This paper addresses the exponential stability of the trivial solution of some types of
evolution equations driven by Hölder continuous functions with Hölder index greater than …

In this paper, we study the Wong–Zakai approximations given by a stationary process via the
Wiener shift and their associated dynamics of a class of stochastic evolution equations with …

In this paper, we give the existence–uniqueness theorems and the moment estimates of
solutions for a large class of SFDEs. These estimates improve and extend some related …

Ergodicity of random dynamical systems with a periodic measure is obtained on a Polish
space. In the Markovian case, the idea of Poincaré sections is introduced. It is proved that if …

In this paper, the asymptotic behavior of stochastic differential equations driven by a
fractional Brownian motion with Hurst parameter H> 1/2 is studied. In particular, it is shown …

We prove a center manifold theorem for rough partial differential equations (rough PDEs).
The class of rough PDEs we consider contains as a key subclass reaction-diffusion …

We study semilinear rough stochastic partial differential equations as introduced in
Gerasimovičs and Hairer (2019)[31]. We provide L p (Ω)-integrable a priori bounds for the …

arXiv:1811.09517v2 [math.PR] 5 Apr 2019 Page 1 arXiv:1811.09517v2 [math.PR] 5 Apr 2019
Global solutions and random dynamical systems for rough evolution equations Robert Hesse∗ …