4 papers · 1 filter
Quasi-stationary distributions for time-changed symmetric -stable processes killed upon hitting zero
Zhe-Kang Fang, Yong-Hua Mao, Tao Wang
For a time-changed symmetric -stable process killed upon hitting zero, under the condition of entrance from infinity, we prove the existence and uniqueness of quasi-stationary d…
Ergodic convergence rates for time-changed symmetric Lévy processes in dimension one
Tao Wang
We obtain the lower bounds for ergodic convergence rates, including spectral gaps and convergence rates in strong ergodicity for time-changed symmetric Lévy processes by using harm…
Variational principles for asymptotic variance of general Markov processes
Lu-Jing Huang, Yong-Hua Mao, Tao Wang
A variational formula for the asymptotic variance of general Markov processes is obtained. As application, we get a upper bound of the mean exit time of reversible Markov processes…
Lyapunov-type Conditions for Non-strong Ergodicity of Markov Processes
Yong-Hua Mao, Tao Wang
We present Lyapunov-type conditions for non-strong ergodicity of Markov processes. Some concrete models are discussed including diffusion processes on Riemannian manifolds and Orns…