Limiting behaviour of the occupation of wedges by complex Brownian motion (Q909354)

Let \(B_ t\) be the planar Brownian motion. Given a wedge \(W_{\alpha}\) with angle \(\alpha\) define the occupation time \(T^{\alpha}\) by \[ T^{\alpha}(t)=\int^{t}_{0}1_{(B(u)\in W^{\alpha})}du. \] The author proves that a lim inf behaviour of \(T^{\alpha}\) as \(t\to 0\) holds a.s. for all wedges of angle \(\alpha\) simultaneously.