Geodesic
Algebras of Bernoulli distributions with a single limit point
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2019), pp. 3-9
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We consider systems of Boolean functions inducing algebras of Bernoulli distributions, whose universal set has a single limit point. We establish a criterion for an algebra generated by a given set of distributions to have a unique limit point. 
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A. D. Yashunskii. Algebras of Bernoulli distributions with a single limit point. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2019), pp. 3-9. http://geodesic.mathdoc.fr/item/VMUMM_2019_4_a0/

[1] Salimov F. I., “Ob odnoi sisteme obrazuyuschikh dlya algebr nad sluchainymi velichinami”, Izv. vuzov. Matem., 1981, no. 5, 78–82 | Zbl

[2] Kolpakov R. M., “Kriterii porozhdeniya mnozhestv ratsionalnykh veroyatnostei v klasse bulevykh funktsii”, Diskretn. analiz i issled. oper. Ser. 1, 6:2 (1999), 41–61 | MR | Zbl

[3] Skhirtladze R. L., “O metode postroeniya bulevoi sluchainoi velichiny s zadannym raspredeleniem veroyatnostei”, Sb. nauch. tr., Diskretnyi analiz, 7, In-t matem. SO AN SSSR, Novosibirsk, 1966, 71–80

[4] Yashunsky A. D., “Clone-induced approximation algebras of Bernoulli distributions”, Algebra univers., 80:5 (2019), 1–16 | MR | Zbl

[5] Yashunskii A. D., “Konechnye algebry bernullievskikh raspredelenii”, Diskretn. matem., 30:2 (2018), 148–161 | DOI | MR