Geodesic
Laws of large numbers in non-Archimedean probability theory
Izvestiya. Mathematics, Tome 64 (2000) no. 1, pp. 207-219 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider non-Kolmogorov probability models, namely, models with $p$-adic probabilities. We obtain an analogue of Bernoulli's theorem for symmetric schemes. 
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A. Yu. Khrennikov. Laws of large numbers in non-Archimedean probability theory. Izvestiya. Mathematics, Tome 64 (2000) no. 1, pp. 207-219. http://geodesic.mathdoc.fr/item/IM2_2000_64_1_a7/

[1] Vladimirov V. S., Volovich I. V., Zelenov E. I., $p$-adicheskii analiz i matematicheskaya fizika, Nauka, M., 1994 | MR

[2] Khrennikov A. Yu., “$p$-adicheskaya veroyatnost i statistika”, Dokl. RAN, 332:6 (1992), 1075–1079 | MR

[3] Khrennikov A. Yu., “Nearkhimedova veroyatnost”, Sb. statei K 70-letiyu akademika V. S. Vladimirova, Tr. MIAN, 203, Nauka, M., 1994, 184–193 | Zbl

[4] Khrennikov A. Yu., “$p$-adicheskaya teoriya veroyatnostei i ee prilozheniya. Printsip statisticheskoi stabilizatsii chastot”, TMF, 97:3 (1993), 348–363 | MR | Zbl

[5] Khrennikov A. Yu., $p$-adic valued distributions in mathematical physics, Kluwer Academic Publ., Dordrecht–Boston–London, 1994 | MR | Zbl

[6] Schikhov W., Ultrametric Calculus, Cambridge Univ. Press, Cambridge, 1984 | MR

[7] Monna A., Analyse non-Archimedienne, Springer, Berlin, 1970 | MR | Zbl

[8] Khrennikov A. Yu., “Obobschennye funktsii i gaussovskie kontinualnye integraly po nearkhimedovym funktsionalnym prostranstvam”, Izv. RAN. Ser. matem., 55:4 (1991), 780–814 | MR

[9] Mahler K., $p$-adic numbers and their functions, Cambridge Univ. Press, Cambridge, 1980 | MR