Geodesic
A method of defining central and Gibbs measures and the ergodic method
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 497 (2021), pp. 7-11

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We formulate a general statement of the problem of defining invariant measures with certain properties and suggest an ergodic method of perturbations for describing such measures.
Keywords: equivalence relation, cocycle, invariant measures, Markov chains, cotransitions. 
@article{DANMA_2021_497_a1,
     author = {A. M. Vershik},
     title = {A method of defining central and {Gibbs} measures and the ergodic method},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {7--11},
     publisher = {mathdoc},
     volume = {497},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2021_497_a1/}
}
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A. M. Vershik. A method of defining central and Gibbs measures and the ergodic method. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 497 (2021), pp. 7-11. http://geodesic.mathdoc.fr/item/DANMA_2021_497_a1/