A CLT for the L^{2} modulus of continuity of Brownian local time

Xia Chen, Wenbo Li, Michael B. Marcus +1

Let $\{L_t^x;(x,t)\in R^1\times R_{+}^1\}$ denote the local time of Brownian motion and \[ α_{t}:=\int_{-\infty}^{\infty} (L^{x}_{t})^{2} dx . \] Let $\eta =N(0,1)$ be indepe…