Csáki, Endre; Földes, Antónia - In: Stochastic Processes and their Applications 25 (1987), pp. 203-213
Let L(a, t) be the local time of a Wiener process, and put . It is shown that if g(t)=t1/2(log t)-1(log log t)-1 and . A similar result is proved for random g(t) depending on the maximum of the Wiener process. These results settle a problem posed by Csörgo and Révész [7].