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Moderate deviations and laws of the iterated logarithm for the volume of the intersections of Wiener sausages. (English) Zbl 1191.60033

Summary: Using the high moment method and the Feynman-Kac semigroup technique, we obtain moderate deviations and laws of the iterated logarithm for the volume of the intersections of two and three dimensional Wiener sausages.

MSC:

60F10 Large deviations
60J65 Brownian motion
60F15 Strong limit theorems