Ergodic and strong Feller properties of affine processes
Probability
2021-04-27 v1
Abstract
For general (1+1)-affine Markov processes, we prove the ergodicity and exponential ergodicity in total variation distances. Our methods follow the arguments of ergodic properties for L\'{e}vy-driven OU-processes and a coupling of CBI-processes constructed by stochastic equations driven by time-space noises. Then the strong Feller property is considered.
Keywords
Cite
@article{arxiv.2104.12065,
title = {Ergodic and strong Feller properties of affine processes},
author = {Shukai Chen and Zenghu Li},
journal= {arXiv preprint arXiv:2104.12065},
year = {2021}
}