English

Ergodic convergence rates for time-changed symmetric L\'{e}vy processes in dimension one

Probability 2021-09-08 v2

Abstract

We obtain the lower bounds for ergodic convergence rates, including spectral gaps and convergence rates in strong ergodicity for time-changed symmetric L\'{e}vy processes by using harmonic function and reversible measure. As direct applications, explicit sufficient conditions for exponential and strong ergodicity are given. Some examples are also presented.

Keywords

Cite

@article{arxiv.2109.01331,
  title  = {Ergodic convergence rates for time-changed symmetric L\'{e}vy processes in dimension one},
  author = {Tao Wang},
  journal= {arXiv preprint arXiv:2109.01331},
  year   = {2021}
}
R2 v1 2026-06-24T05:39:05.825Z