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Lyapunov-type Conditions for Non-strong Ergodicity of Markov Processes
Yong-Hua Mao, Tao Wang · 2019-12-19 · via math.PR updates on arXiv.org

We present Lyapunov-type conditions for non-strong ergodicity of Markov processes. Some concrete models are discussed including diffusion processes on Riemannian manifolds and Ornstein-Uhlenbeck processes driven by symmetric $α$-stable processes. For SDE driven by $α$-stable process ($α\in (0,2]$) with polynomial drift, the strong ergodicity or not is independent on $α$.

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