Yong-Hua Mao, Tao Wang
Published 2019-12-19Version 1
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 $\alpha$-stable processes. For SDE driven by $\alpha$-stable process ($\alpha\in (0,2]$) with polynomial drift, the strong ergodicity or not is independent on $\alpha$.
Asymptotic and spectral properties of exponentially φ-ergodic Markov processes
Existence and uniqueness of a quasi-stationary distribution for Markov processes with fast return from infinity
Operator semigroups in the mixed topology and the infinitesimal description of Markov processes
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