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Une loi du logarithme iteré pour le groupe d’Heisenberg. (French) Zbl 0342.60028

MSC:
60F15 Strong limit theorems
60B15 Probability measures on groups or semigroups, Fourier transforms, factorization
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[1] Crepel, P., Le Page, E.: Loi du logarithme itéré fonctionnelle sur le groupe des déplacements de R d . C.R. Acad. 8ci. Paris Sér. A-B 281, 475-478 (1975) · Zbl 0325.60031
[2] Crepel, P., Raugi, A.: Théorème central limite sur les groupes nilpotents. C.R. Acad. Sci. Paris Sér. A?B 281, 605-608 (1975) · Zbl 0344.60019
[3] Loeve, M.: Probability theory. 3e édition. New York: Van Nostrand 1963 · Zbl 0108.14202
[4] Roynette, B.: Théorème central limite sur le groupe des déplacements de R d . Ann. 2nst. H. Poincaré Sect. B, vol. X, n?4, 391-398 (1974) · Zbl 0324.60026
[5] Sazonov, V.: A new general estimate of the rate of convergence in the central limit theorem in ?k. Proc. Nat. Acad. Sci. USA 71, 1, 118-121 (1974) · Zbl 0277.60010
[6] Tutubalin, V. N.: Composition of measures on the simplest nilpotent group. Theor. Probability Appl. 9, 3, 479-487 (1964) · Zbl 0138.10603
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