3 papers
math.PR2021
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…
math.PR2021
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…
math.PR2019
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…