A Law of Large Numbers for interacting diffusions via a mild formulation

Then, in Section 3, we study the asymptotic behavior of the empirical measure: first, in Section 3.1, we give our result on the ergodicity of the auxiliary process, then, in

In furthcoming works, we will study the fluctuations of the model around its deterministic limit, in order to get the speeds of the convergence of the initial fast and slow

In this article, we approximate the invariant distribution ν of an ergodic Jump Diffusion driven by the sum of a Brownian motion and a Compound Poisson process with sub-Gaussian

of disorders of consciousness, functional neuroimaging and machine learning algorithms. The forth

ing tend to have a stronger positive effect on student learning outcomes, compared to no tutoring conditions (i.e., a greater effect size) than systems that provide

The purpose of this paper is to présent the main ideas in proving large déviation principles for the empirical measure of interacting particle systems.. To

In the late seventies Asmussen and Hering wrote a series of papers concerning weak and strong laws of large numbers for a reasonably general class of branching processes which

Keywords: Super-Brownian motion; Superdiffusion; Superprocess; Law of Large Numbers; H -transform; Weighted superprocess; Scaling limit; Local extinction; Local