Geodesic
Some metric properties of Engel's representation
Sbornik. Mathematics, Tome 18 (1972) no. 2, pp. 249-265 Cet article a éte moissonné depuis la source Math-Net.Ru

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We examine some facts of the metric theory of two number-theoretic representations which are equivalent in the probabilistic sense, one of which is the well-known representation of Engel. Bibliography: 4 titles. 
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V. V. Konyukhovskii. Some metric properties of Engel's representation. Sbornik. Mathematics, Tome 18 (1972) no. 2, pp. 249-265. http://geodesic.mathdoc.fr/item/SM_1972_18_2_a6/

[1] P. Erdős, A. Renyi, P. Szűsz, “On Engel's and Sylvester's series”, Ann. Univ. Scient. Budapest, sec. Math., 1 (1958), 7–32 | MR | Zbl

[2] E. B. Dynkin, “Granichnaya teoriya markovskikh protsessov” (diskretnyi sluchai), Uspekhi matem. nauk, XXIV:2(146) (1969), 4–42 | MR

[3] E. Bekkenbakh, R. Bellman, Neravenstva, Mir, Moskva, 1965 | MR

[4] M. Loev, Teoriya veroyatnostei, IL, Moskva, 1962 | MR