Time averages and Boltzmann extremals for Markov chains, discrete Liouville equations, and the Kac circular model
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 11, pp. 2063-2074
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Time averages are proved to coincide with Boltzmann extremals for Markov chains, discrete Liouville equations, and their generalizations. A variational principle is proposed for finding stationary solutions in these cases.
@article{ZVMMF_2011_51_11_a9,
author = {S. Z. Adzhiev and V. V. Vedenyapin},
title = {Time averages and {Boltzmann} extremals for {Markov} chains, discrete {Liouville} equations, and the {Kac} circular model},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {2063--2074},
publisher = {mathdoc},
volume = {51},
number = {11},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_11_a9/}
}
TY - JOUR AU - S. Z. Adzhiev AU - V. V. Vedenyapin TI - Time averages and Boltzmann extremals for Markov chains, discrete Liouville equations, and the Kac circular model JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2011 SP - 2063 EP - 2074 VL - 51 IS - 11 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_11_a9/ LA - ru ID - ZVMMF_2011_51_11_a9 ER -
%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
S. Z. Adzhiev; V. V. Vedenyapin. Time averages and Boltzmann extremals for Markov chains, discrete Liouville equations, and the Kac circular model. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 11, pp. 2063-2074. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_11_a9/