Butkovsky, O.A.; Veretennikov, A. Yu. - In: Stochastic Processes and their Applications 123 (2013) 9, pp. 3518-3541
We prove that strong ergodicity of a Markov process is linked with a spectral radius of a certain “associated” semigroup operator, although, not a “natural” one. We also give sufficient conditions for weak ergodicity and provide explicit estimates of the convergence rate. To establish...