Geodesic
On law bounds for mixing rates for a class of Markov processes
Teoriâ veroâtnostej i ee primeneniâ, Tome 51 (2006) no. 3, pp. 600-607

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Lower bounds of $\alpha$-mixing rate are established for particular models from a class of stationary Markov processes under recurrence conditions. The bounds are compared to previously known upper bounds of $\beta$-mixing rate in cases of polynomial and subexponential convergence. In the latter case, it is shown that the bounds are sharp.
Keywords: Markov process, recurrence, invariant measure, mixing coefficients, subexponential rate.
Mots-clés : polynomial rate 
@article{TVP_2006_51_3_a9,
     author = {S. A. Klokov},
     title = {On law bounds for mixing rates for a class of {Markov} processes},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {600--607},
     publisher = {mathdoc},
     volume = {51},
     number = {3},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2006_51_3_a9/}
}
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S. A. Klokov. On law bounds for mixing rates for a class of Markov processes. Teoriâ veroâtnostej i ee primeneniâ, Tome 51 (2006) no. 3, pp. 600-607. http://geodesic.mathdoc.fr/item/TVP_2006_51_3_a9/