Burdzy, KrzysztofBass, Richard F.2005-12-072005-12-072001-11Bass, R.F. & K. Burdzy. (2001). The supremum of Brownian local times on Holder curves. Annales de l'Institut Henri Poincare (B) Probability and Statistics, 37(6), 627-642.http://hdl.handle.net/1773/2246For f : [maps the set] [0, 1] [into the set of real numbers] R, we consider L ([to the power of] f [subscript] t), the local time of spacetime Brownian motion on the curve f. Let S [subscript alpha] be the class of all functions whose Holder norm of order [alpha] is less than or equal to 1. We show that the supremum of L ([to the power of] f [subscript] 1) over f in S [subscript alpha] is finite if [alpha] > 1/2 and infinite if [alpha] < 1/2.173574 bytesapplication/pdfen-USlocal timeBrownian motionHolder normsupremumArticle