English

Stationary Measures for Stochastic Differential Equations with Jumps

Probability 2014-02-18 v2

Abstract

In the paper, stationary measures of stochastic differential equations with jumps are considered. Under some general conditions, existence of stationary measures is proved through Markov measures and Lyapunov functions. Moreover, for two special cases, stationary measures are given by solutions of Fokker-Planck equations and long time limits for the distributions of system states.

Keywords

Cite

@article{arxiv.1209.0658,
  title  = {Stationary Measures for Stochastic Differential Equations with Jumps},
  author = {Huijie Qiao and Jinqiao Duan},
  journal= {arXiv preprint arXiv:1209.0658},
  year   = {2014}
}

Comments

13 pages

R2 v1 2026-06-21T21:59:33.756Z