Geodesic
Conditions for the existence of a regular sequence of finite subgraphs of an infinite loaded linear graph
Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 82 (2021) no. 1, pp. 147-155 
B. M. Gurevich. Conditions for the existence of a regular sequence of finite subgraphs of an infinite loaded linear graph. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 82 (2021) no. 1, pp. 147-155. http://geodesic.mathdoc.fr/item/MMO_2021_82_1_a7/
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[1] Gurevich B. M., Savchenko S. V., “Termodinamicheskii formalizm dlya simvolicheskikh tsepei Markova so schetnym chislom sostoyanii”, UMN, 53:2 (320) (1998), 3–106 | MR | Zbl

[2] Gurevich B. M., Novokreschenova O. R., “On asymptotic properties of equilibrium measures corresponding to finite submatrices of infinite nonnegative matrices”, J. Dyn. Control Syst., 19:3 (2013), 327–347 | DOI | MR | Zbl

[3] Gurevich B. M., “Convergence of equilibrium measures corresponding to finite subgraphs of infinite graphs: new examples”, Contemporary Mathematics (to appear)

[4] Khorn R., Dzhonson Ch., Matrichnyi analiz, Mir, M., 1989 | MR