Geodesic
Spectral potential, Kullback action, and large deviations of empirical measures on measurable spaces
Teoriâ veroâtnostej i ee primeneniâ, Tome 59 (2014) no. 4, pp. 625-638 Cet article a éte moissonné depuis la source Math-Net.Ru

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V. I. Bakhtin. Spectral potential, Kullback action, and large deviations of empirical measures on measurable spaces. Teoriâ veroâtnostej i ee primeneniâ, Tome 59 (2014) no. 4, pp. 625-638. http://geodesic.mathdoc.fr/item/TVP_2014_59_4_a0/

[1] Antonevich A. B., Bakhtin V. I., Lebedev A. V., “On $t$-entropy and variational principle for the spectral radii of transfer and weighted shift operators”, Ergodic Theory Dynam. Systems, 31:4 (2011), 995–1042 | DOI

[2] Deuschel J.-D., Stroock D. W., Large Deviations, Pure Appl. Math., 137, Academic Press, Boston, 1989, 307 pp.

[3] Groeneboom P., Oosterhoff J., Ruymgaart F. H., “Large deviation theorems for empirical probability measures”, Ann. Probab., 7:4 (1979), 553–586 | DOI

[4] Jain N., “An introduction to large deviations”, Lecture Notes in Math., 1153, 1985, 273–296 | DOI

[5] Varadhan S. R. S., “Large deviations”, Ann. Probab., 36:2 (2008), 397–419 | DOI

[6] Borovkov A. A., Matematicheskaya statistika: Otsenka parametrov. Proverka gipotez, Nauka, M., 1984, 472 pp.

[7] Borovkov A. A., Mogulskii A. A., “O printsipakh bolshikh uklonenii v metricheskikh prostranstvakh”, Sib. matem. zhurn., 51:6 (2010), 1251–1269

[8] Venttsel A. D., Freidlin M. I., Fluktuatsii v dinamicheskikh sistemakh pod deistviem malykh sluchainykh vozmuschenii, Nauka, M., 1979, 424 pp.

[9] Sanov I. N., “O veroyatnosti bolshikh otklonenii sluchainykh velichin”, Matem. sb., 42:1 (1957), 11–44