Restoration of macroscopic isotropy on (d+1)-simplex fractal conductor networks

Restoration of macroscopic isotropy has been investigated in (d+1)-simplex fractal conductor networks via exact real-space renormalization group transformations. Using some theorems of fixed-point theory, it has been shown very rigoroursly that the macroscopic conductivity becomes isotropic for large scales and anisotropy vanishes with a scaling exponent which is computed exactly for arbitrary values of d and decimation numbers b=2,3,4 and 5.