Random processes and random systems: An introduction -- On the wedding of certain dynamical processes in disordered complex materials to the theory of stable (Lรฉvy) distribution functions -- Fractal stochastic processes: Clusters and intermittancies -- Percolation and fractal properties of thin gold films -- Percolation and capillary fluid displacement -- Recent progress and current puzzles in percolation -- Markov fields, correlated percolation, and the Ising model -- Directionality effects in percolation -- Percolation and related systems in equilibrium statistical mechanics -- Branched polymers, polymer gels and percolation theory -- Critical probabilities in percolation models -- Critical exponents and thresholds for percolation and conduction -- Models of disordered media: Some new results, including some new connections between composite-media, fluid-state, and random-flight theories -- Variational bounds on the diffusive and hydrodynamic permeabilities of randomly perforated sheets -- Diffusions and random walks in random media -- Waves in disordered media -- Microscopic origins of stochastic crack growth