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Le caractère universel de la courbe du mouvement brownien et la loi du logarithme itéré. (French) Zbl 0067.11201


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[1] F. Perrin–Étude mathématique du mouvement brownien de rotation. Ann. Ec. norm. sup., s. 3, 45, 1928, p. 1–51. · JFM 54.0993.05
[2] Cf. P. Lévy. Processus stochastiques et mouvement brownien, théorème 52.2 (p. 251). Cet ouvrage sera désigné dans la suite par l’abréviation Proc. stoch.
[3] P. Lévy. Théorie de l’addition des variables aléatoires, théorème 70 (p. 260–264).
[4] Ces formules sont, avec d’autres notations, les formules (11) (p. 212) et (52) (p. 230) du Chapitre VI de Proc. stoch.
[5] Amer. Journ. of math., 62 (1940), p. 487–550.
[6] Cf. P. LÉVY. Sull’applicazione della geometria dello spazio di HILBERT allo studio delle successioni di variabili casuali. Giorn. d. Ist. ital. d. Attuari, 6, 1935, p. 13–28. · JFM 61.1291.03
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