Now showing items 1-3 of 3
A weak estimate of the fractal dimension of the Mandelbrot boundary
(Elsevier, 1989-04-17)
A technique to compute fractal dimension as defined by the Kolmogorov capacity is discussed. The method is used to compute fractal dimension for several standard curves and the boundary of the Mandelbrot set. This estimate ...
Self-avoiding random walks on multifractal lattices
(IOP Publishing Ltd, 1989-04-21)
A renormalisation theory is developed to study the critical behaviour of self-avoiding random walks on multifractals. Critical exponents and connectivity constants are calculated for walks on a class of square multifractal ...
Rectangular renormalization
(IOP Publishing Ltd, 1995-10-07)
A generalized real-space renormalization scheme is developed for geometrical critical phenomena. The renormalization group is parametrized by the standard length-scaling factor and a new rectangular area-fraction factor. ...