English

Ergodicity for Neutral Type SDEs with Infinite Length of Memory

Probability 2018-05-23 v3

Abstract

In this paper, the weak Harris theorem developed in \cite{HMS11} is illustrated by using a straightforward Wasserstein coupling, which implies the exponential ergodicity of the functional solutions to a range of neutral type SDEs with infinite length of memory. A concrete example is presented to illustrate the main result.

Keywords

Cite

@article{arxiv.1805.03431,
  title  = {Ergodicity for Neutral Type SDEs with Infinite Length of Memory},
  author = {Jianhai Bao and Feng-Yu Wang and Chenggui Yuan},
  journal= {arXiv preprint arXiv:1805.03431},
  year   = {2018}
}