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 …

This work is concerned with a Freidlin--Wentzell type large deviation principle for a family of
multiscale quasilinear and semilinear stochastic partial differential equations. Employing the …

This paper is devoted to proving the small noise asymptotic behavior, particularly large
deviation principle, for multi-scale stochastic dynamical systems with fully local monotone …

In this paper, we first study the strong averaging principle for stochastic tamed 3D Navier–
Stokes equation with fast oscillations, which can be viewed as the functional law of large …

This work focuses on moderate deviations for two-time scale systems with mixed fractional
Brownian motion. Our proof uses the weak convergence method which is based on the …

This work focuses on the slow-fast system perturbed by the mixed fractional Brownian
motion with Hurst parameter H\in (1/2, 1). The integral with respect to fractional Brownian …

The main aim of this paper is to study the moderate deviation principle for McKean-Vlasov
stochastic differential equations with multiple scales. Specifically, we are interested in the …

Consider a collection of particles whose state evolution is described through a system of
interacting diffusions in which each particle is driven by an independent individual source of …

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 …

Abstract The Freidlin–Wentzell's large deviation principle is established for a class of multi-
scale stochastic models involving slow–fast components, where the slow component has …