  The multifractal behavior of the normalized first passage time is
investigated on the two dimensional Sierpinski gasket with both absorbing and
reflecting barriers. The normalized first passage time for Sinai model and the
logistic model to arrive at the absorbing barrier after starting from an
arbitrary site, especially obtained by the calculation via the Monte Carlo
simulation, is discussed numerically. The generalized dimension and the
spectrum are also estimated from the distribution of the normalized first
passage time, and compared with the results on the finitely square lattice.
