A bichromatic majority model is presented and studied analytically. The mean value of one color, say black, dominant cluster size is calculated as a function of the occupancy probability p for the black plaquettes, while 1−p=q is the occupancy probability for the white plaquettes. The model...

A diffusion model based on a continuous time random walk scheme with a separable transition probability density is introduced. The probability density for long jumps is proportional to x−1−γ (a Lévy-like probability density). Even when the probability density for the walker position at...