%0 Journal Article %A S. Z. Adzhiev %A V. V. Vedenyapin %T Time averages and Boltzmann extremals for Markov chains, discrete Liouville equations, and the Kac circular model %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2011 %P 2063-2074 %V 51 %N 11 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_11_a9/ %G ru %F ZVMMF_2011_51_11_a9