Percolation transition into random-Sierpinski-carpets

Optical and electrical properties of inhomogeneous media, strongly depend on the percolating properties of one of the component. In many cases, inhomogeneous media present fractal structures near and at the percolation threshold, and in general, transport properties exhibit a very special behaviour in this concentration range. In contrast with the theoretical simulations, the scale invariance ratio of the real systems (granular metal films, porous media…) is limited, which has a direct influence on the percolating properties of the clusters.