×

The laws of Chung and Hirsch for Cauchy’s principal values related to Brownian local times. (English) Zbl 0951.60079

Summary: Two Chung-type and Hirsch-type laws are established to describe the liminf asymptotic behaviours of the Cauchy’s principal values related to Brownian local times. These results are generalized to a class of Brownian additive functionals.

MSC:

60J55 Local time and additive functionals
60F15 Strong limit theorems