The main aim of this work is to study the asymptotic behavior for multi-scale McKean–Vlasov
stochastic dynamical systems. Firstly, we obtain a central limit type theorem, ie the deviation …

We prove a fractional averaging principle for interacting slow-fast systems. The mode of
convergence is in Hölder norm in probability. The main technical result is a quenched …

We study fast/slow systems driven by a fractional Brownian motion B with Hurst parameter
H∈(1 3, 1]. Surprisingly, the slow dynamic converges on suitable timescales to a limiting …

In this paper, we study the moderate deviations principle (MDP) for slow–fast stochastic
dynamical systems where the slow motion is governed by small fractional Brownian motion …

We study statistical inference for small-noise-perturbed multiscale dynamical systems where
the slow motion is driven by fractional Brownian motion. We develop statistical estimators for …

We consider a multiscale system of stochastic differential equations in which the slow
component is perturbed by a small fractional Brownian motion with Hurst index $ H> 1/2 …

In this paper, we are concerned with multi-scale distribution-dependent stochastic
differential equations driven by fractional Brownian motion (with Hurst index H> 1 2) and …

In this paper we prove the strong averaging principle for a slow-fast system of rough
differential equations. The slow and the fast component of the system are driven by a rather …

We show the existence of a stationary measure for a class of multidimensional stochastic
Volterra systems of affine type. These processes are in general not Markovian, a …

In this paper, we study the dynamics of a linear control system with given state feedback
control law in the presence of fast periodic sampling at temporal frequency $1/\delta …