www.elsevier.com/locate/spa Large deviations for Brownian motion on the

We study large deviations for Brownian motion on the Sierpinski gasket in the short time limit. Because of the subtle oscillation of hitting times of the process, no large deviation principle can hold. In fact, our result shows that there is an innity of dierent large deviation principles for dierent subsequences, with dierent (good) rate functions. Thus, instead of taking the time scaling ! 0, we prove that the large deviations hold for zn ( 25)nz as n! 1 using one parameter family of rate functions I z (z 2 [ 25; 1)). As a corollary, we obtain Strassen-type law