On the functional form of L�vy's modulus of continuity for Brownian motion

DOI10.1007/BF00532667zbMath0548.60034OpenAlexW2162382821MaRDI QIDQ3339856

Alejandro D. de Acosta

Publication date: 1985

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00532667

zbMATH Keywords

reproducing kernel Hilbert spaceBrownian motion taking values in a Banach space

Mathematics Subject Classification ID

Brownian motion (60J65) Sample path properties (60G17) Functional limit theorems; invariance principles (60F17)

Related Items (5)

Local functional limit theorems of increments for Brownian motion ⋮ Rates of convergence for increments of Brownian motion ⋮ Loi de type Chung en norme de Hölder pour les accroissements locaux du mouvement brownien. (Chung type law for increments of Brownian motion in Hölder norm) ⋮ An introduction to the theory of large deviations ⋮ The rate of quasi sure convergence in the functional limit theorem for increments of a Brownian motion

Cites Work

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• The Brunn-Minkowski inequality in Gauss space
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• [https://portal.mardi4nfdi.de/wiki/Publication:3914144 A unification of Strassen's law and L�vy's modulus of continuity]
• Limit theorems for moving averages of independent random vectors
• A generalization of Strassen's functional law of iterated logarithm

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