"Increment sizes of the principal value of Brownian
Endre Csáki, Miklós Csörgö,
Antónia Földes and Zhan Shi
Summary: Let $W$ be a standard Brownian motion, and
define $Y(t)=\int_0^t ds/W(s)$ as Cauchy's principal
value related to local time. We determine: (a) the
modulus of continuity of $Y$ in the sense of P.
Lévy; (b) the large increments of $Y$.
Keywords: Local time; modulus of continuity; large
increment; Brownian motion.