BETWEEN STRASSEN AND CHUNG NORMALIZATIONS FOR LEVY AREA PROCESS

Let {L(t): t greater than or equal to 0} be Levy's area process, let g amma: R+ bar arrow pointing right R, and let {Z(t): t greater than or equal to 3} be the stochastic process defined by Z(t)(s) = L(ts)/(2t l og log t), 0 less than or equal to s less than or equal to 1. Conditio ns on gamma are given such that the set of all limit points of {gamma( t)Z(t): t greater than or equal to 3} as t --> infinity is a.s. equal to the set of all continuous functions defined on [0, 1] which vanish at 0. 1350-7265 (C) 1998 Chapman & Hall.