4 papers
Pattern Formation and a Clustering Transition in Power-Law Sequential Adsorption
Ofer Biham, Ofer Malcai, Daniel A. Lidar +1
A new model that describes adsorption and clustering of particles on a surface is introduced. A {\it clustering} transition is found which separates between a phase of weakly corre…
The Limited Scaling Range of Empirical Fractals
David Avnir, Ofer Biham, Daniel A. Lidar +1
The notion of the abundance of fractals is critically re-examined in light of surprising data regarding the scaling range in empirical reports on fractality.
Limited Range Fractality of Randomly Adsorbed Rods
Daniel A. Lidar, Ofer Biham, David Avnir
Multiple resolution analysis of two dimensional structures composed of randomly adsorbed penetrable rods, for densities below the percolation threshold, has been carried out using…
Randomness and Apparent Fractality
D. A. Lidar, O. Malcai, O. Biham +1
We show that when the standard techniques for calculating fractal dimensions in empirical data (such as the box counting) are applied on uniformly random structures, apparent fract…