Anomalous scaling laws appear in a wide class of phenomena where global dilation
invariance fails. In this case, the description of scaling properties requires the introduction of …

Fractal growth processes Page 1 NATURE VOL. 322 28 AUGUST 1986 REVIEW ARTICLE 739
Fractal growth processes Leonard M. Sander Physics Department, University of Michigaņ, Ann …

First-passage properties underlie a wide range of stochastic processes, such as diffusion-
limited growth, neuron firing, and the triggering of stock options. This book provides a unified …

In this paper, we propose a model of growth and form in which the processes of growth are
intimately linked to the resulting geometry of the system. The model, first developed by …

A quantitative model describing the flow properties of dissolution patterns, called
“wormholes”, is described. These patterns are created when a reactive fluid is injected into a …

The authors point out that the field theoretical description of the localisation transition
exhibits anomalous scaling for the moments of the probability density at the localisation …

Diffusion-limited aggregation (DLA) is a model which represents noisy growth limited by
diffusion. This process is quite common in nature and the simple algorithm gives a good …

Random percolation, self-avoiding walks or lattice animals can be regarded as static
geometrical models where the different possible configurations are completely independent …

We analyze numerical studies of the harmonic measure of diffusion-limited aggregates in
two dimensions by modeling this measure by a fractal set of singularities. We discuss the …

An experimental realization is displayed in figure 2. A high-viscosity light-colored
hydrophobic fluid (2.5% hexadecyl end-capped polymer) was confined to a space 0.4 mm …