English

Effective dynamicsof a coupled microscopic-macroscopic stochastic system

Probability 2010-11-15 v1

Abstract

A conceptual model for microscopic-macroscopic slow-fast stochastic systems is considered. A dynamical reduction procedure is presented in order to extract effective dynamics for this kind of systems. Under appropriate assumptions, the effective system is shown to approximate the original system, in the sense of a probabilistic convergence.

Keywords

Cite

@article{arxiv.1011.2909,
  title  = {Effective dynamicsof a coupled microscopic-macroscopic stochastic system},
  author = {Jian Ren and Hongbo Fu and Daomin Cao and Jinqiao Duan},
  journal= {arXiv preprint arXiv:1011.2909},
  year   = {2010}
}

Comments

14 pages

R2 v1 2026-06-21T16:42:53.691Z