Some exact rates in the functional law of the iterated logarithm
Annales de l'I.H.P. Probabilités et statistiques, Tome 38 (2002) no. 6, pp. 811-824. 
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     author = {Berthet, Philippe and Lifshits, Mikhail},
     title = {Some exact rates in the functional law of the iterated logarithm},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {811--824},
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     zbl = {1018.60030},
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     url = {http://archive.numdam.org/item/AIHPB_2002__38_6_811_0/}
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Berthet, Philippe; Lifshits, Mikhail. Some exact rates in the functional law of the iterated logarithm. Annales de l'I.H.P. Probabilités et statistiques, Tome 38 (2002) no. 6, pp. 811-824. http://archive.numdam.org/item/AIHPB_2002__38_6_811_0/

[1] P. Berthet, Z. Shi, Small ball estimates for Brownian motion under a weighted sup-norm, Studia Sci. Math. Hungarica 36 (2000) 275-289. | MR | Zbl

[2] K.L. Chung, On the maximum partial sums of sequences of independent random variables, Trans. Amer. Math. Soc. 64 (1948) 205-233. | MR | Zbl

[3] E. Csáki, A relation between Chung's and Strassen's law of the iterated logarithm, Z. Wahrscheinlichkeitstheorie Verw. Gebeite 54 (1980) 287-301. | MR | Zbl

[4] E. Csáki, A liminf result in Strassen's law of the iterated logarithm, Colloq. Math. Soc. János Bolyai 57 (1989) 83-93. | MR | Zbl

[5] J.D. Deuschel, D.M. Stroock, Large Deviations, Academic Press, 1989. | MR | Zbl

[6] A. De Acosta, Small deviations in the functional central limit theorem with applications to functional laws of the iterated logarithm, Ann. Probab. 11 (1983) 78-101. | MR | Zbl

[7] V. Goodman, J. Kuelbs, Rates of clustering in Strassen's LIL for Brownian motion, J. Theoret. Probab. 4 (1991) 285-309. | MR | Zbl

[8] N. Gorn, M. Lifshits, Chung's law and the Csáki function, J. Theoret. Probab. 12 (1999) 399-420. | MR | Zbl

[9] K. Grill, A liminf result in Strassen's law of the iterated logarithm, Probab. Theory Related Fields 89 (1991) 149-157. | MR | Zbl

[10] J. Kuelbs, W.V. Li, M. Talagrand, Liminf results for Gaussian samples and Chung's functional LIL, Ann. Probab. 22 (1994) 1879-1903. | MR | Zbl

[11] A.A. Mogulskii, Small deviations in a space of trajectories, Theoret. Probab. Appl. 19 (1974) 726-736. | MR | Zbl

[12] V. Strassen, An invariance principle for the law of the iterated logarithm, Z. Wahrscheinlichkeitstheorie Verw. Gebeite 3 (1964) 211-226. | MR | Zbl