On the asymptotic behaviour of the empirical random field of the Brownian motion

DOI10.1016/0304-4149(84)90020-6zbMath0524.60024OpenAlexW2019887929MaRDI QIDQ584822

Erwin Bolthausen

Publication date: 1984

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(84)90020-6

zbMATH Keywords

Sobolev spacescentral limit theoremadditive functionalsiterated logarithm lawuniform laws

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Gaussian measures in Banach spaces
• The law of the iterated logarithm in C[0,1]
• Energy and the law of the interated logarithm.

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