On the asymptotic behaviour of the empirical random field of the Brownian motion. (English) Zbl 0524.60024


60F05 Central limit and other weak theorems
60F15 Strong limit theorems
60J55 Local time and additive functionals
60J65 Brownian motion


Zbl 0346.60020
Full Text: DOI


[1] Baxter, J.R.; Brosamler, G.A., Energy and the law of iterated logarithm, Math. scand., 38, 115-136, (1976) · Zbl 0346.60020
[2] Kuelbs, J., The law of iterated logarithm, (), 224-313
[3] Kuo, H.H., Gaussian measures in Banach spaces, ()
[4] Stackelberg, O., A uniform law of iterated logarithm for functions C-uniformly distributed mod. 1, Indiana univ. math. J., 21, 515-528, (1971) · Zbl 0218.60034
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