On asymptotics for Vaserstein coupling of Markov chainsстатья
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Дата последнего поиска статьи во внешних источниках: 11 декабря 2015 г.
Аннотация: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 these results we construct a modification of the Vaserstein coupling.
Some applications including mixing properties are also discussed.