English

On ergodic property of the solution to a L\'evy-driven SDE

Probability 2025-09-25 v2

Abstract

In this paper, we investigate ergodicity in total variation of the process XtX_t, related to a L\'evy-driven stochastic differential equation with unbounded coefficients, and describe the speed of convergence to the respective invariant measure. Some examples are provided.

Keywords

Cite

@article{arxiv.2409.01720,
  title  = {On ergodic property of the solution to a L\'evy-driven SDE},
  author = {Victoria Knopova and Yana Mokanu},
  journal= {arXiv preprint arXiv:2409.01720},
  year   = {2025}
}