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 …

The main aim of this work is to investigate small noise limiting behavior of multi-scale
McKean-Vlasov stochastic dynamical systems, where we allow the coefficients depend on …

Extensive time-series encoding the position of particles such as viruses, vesicles, or
individual proteins are routinely garnered in single-particle tracking experiments or …

A large deviation principle is established for a two-scale stochastic system in which the slow
component is a continuous process given by a small noise finite dimensional Itô stochastic …

We consider the context of molecular motors modelled by a diffusion process driven by the
gradient of a weakly periodic potential that depends on an internal degree of freedom. The …

A Freidlin–Wentzell type large deviation principle is established for stochastic partial
differential equations with slow and fast time-scales, where the slow component is a one …

We prove pathwise large deviation principles of slow variables in slow-fast systems in the
limit of time-scale separation tending to infinity. In the limit regime we consider, the …

This work concerns about multiscale multivalued McKean-Vlasov stochastic systems. First of
all, we establish the well-posedness for multivalued McKean-Vlasov stochastic systems …

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 …

In neuroscience, synaptic plasticity refers to the set of mechanisms driving the dynamics of
neuronal connections, called synapses and represented by a scalar value, the synaptic …