Benoit B. Mandelbrot
Physica A: Statistical Mechanics and its Applications
A nontrivial family of d-dimensional scale-invariant fractal lattices is described, on which statistical mechanics and conductivity problems are exactly solvable for every d. These fractals are finitely ramified but not quasi one dimensional, and hence can be used to model the important geometrical features of the percolating cluster's backbone. Critical exponents calculated for this model agree with those of "real" systems at low dimensionalities. © 1981 The American Physical Society.
Benoit B. Mandelbrot
Physica A: Statistical Mechanics and its Applications
Benoit B. Mandelbrot, Yuval Gefen, et al.
Journal of Physics A: Mathematical and General
Benoit B. Mandelbrot, Carl J.G. Evertsz
Physica A: Statistical Mechanics and its Applications
Benoit B. Mandelbrot
Physica A: Statistical Mechanics and its Applications