Chung's law and the Csaki function

We have found the limit [GRAPHICS] for a Wiener process rt and a class of twice weakly differentiable function s H is an element of C[0,1], thus solving the problem of the convergence ra te in Chung's functional law for the so-called "slowest points". Our descri ption is closely related to an interesting functional emerging From a large deviation problem for the Wiener process in a strip.