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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.PR2021
Convergence Rates in Uniform Ergodicity by Hitting Times and -exponential Convergence Rates
Yong-Hua Mao, Tao Wang
Generally the convergence rate in exponential ergodicity is an upper bound for the convergence rate in uniform ergodicity for a Markov process, that is . In th…