2 citations · 4 across the 7 of their papers we have counts for
10 papers
Setvalued dynamical systems for stochastic evolution equations driven by fractional noise
M. J. Garrido-Atienza, B. Schmalfuss, J. Valero
We consider Hilbert-valued evolution equations driven by Hölder paths with Hölder index greater than 1/2, which includes the case of fractional noises with Hurst parameters in (1/2…
Stationary points in coalescing stochastic flows on
Andrey A. Dorogovtsev, Georgii V. Riabov, Björn Schmalfuß
This work is devoted to long-time properties of the Arratia flow with drift -- a stochastic flow on whose one-point motions are weak solutions to a stochastic differen…
Exponential stability of stochastic evolution equations driven by small fractional Brownian motion with Hurst parameter in
Luu Hoang Duc, María J. Garrido-Atienza, Andreas Neuenkirch +1
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 $1/…
Stochastic lattice dynamical systems with fractional noise
Hakima Bessaih, María J. Garrido-Atienza, Xiaoying Han +1
This article is devoted to study stochastic lattice dynamical systems driven by a fractional Brownian motion with Hurst parameter . First of all, we investigate the ex…
Asymptotical stability of differential equations driven by Hölder--continuous paths
María J. Garrido-Atienza, Andreas Neuenkirch, Björn Schmalfuß
In this manuscript, we establish asymptotic local exponential stability of the trivial solution of differential equations driven by Hölder--continuous paths with Hölder exponent gr…
Random dynamical systems for stochastic evolution equations driven by multiplicative fractional Brownian noise with Hurst parameters
María J. Garrido-Atienza, Björn Schmalfuss, Kening Lu
We consider the stochastic evolution equation in a separable Hilbert--space . Here is supposed to be three times Fréchet--differentiable an…