The September 11 attack on the US has revealed an unprecedented terrorism worldwide range of destruction. Recently, it has been related to the percolation of worldwide spread passive supporters. This scheme puts the suppression of the percolation effect as the major strategic issue in the fight...

Site percolation thresholds are reproduced in all dimensions for all lattices using a linear combination of two analytic terms. One is the well known Cayley tree percolation threshold which is believed to be exact at infinite dimension. The other one is obtained from a new approach to...

We report a quasi-exact power law behavior for Ising critical temperatures on hypercubes. It reads JkBTc = K0[(1 − 1/d)(q−1)]a where K0 = 0.8633747, d is the space dimension q the coordination number (q = 2d), J the coupling constant kB the Boltzman constant and Tc the critical temperature....