  In this paper we analyse random walk on a fractal structure, specifi- cally
fractal curves, using the recently develped calculus for fractal curves. We
consider only unbiased random walk on the fractal stucture and find out the
corresponding probability distribution which is gaussian like in nature, but
shows deviation from the standard behaviour. Moments are calculated in terms of
Euclidean distance for a von Koch curve. We also analyse Levy distribution on
the same fractal structure, where the dimen- sion of the fractal curve shows
significant contribution to the distrubution law by modyfying the nature of
moments. The appendix gives a short note on Fourier transform on fractal
curves.
