Critical and Near-Critical Branching Processes

Details Critical and Near-Critical Branching Processes Critical and Near-Critical Branching Processes

1999-03-05

arxiv.org/abs/cond-mat/9903085v2

Physical Review E 66 (2002) 011907

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages LaTex with 10 PS figures. v.1 of this paper contains results from non-critical sandpile simulations that were excised

Scientific paper

10.1103/PhysRevE.66.011907

Scale-free dynamics in physical and biological systems can arise from a variety of causes. Here, we explore a branching process which leads to such dynamics. We find conditions for the appearance of power laws and study quantitatively what happens to these power laws when such conditions are violated. From a branching process model, we predict the behavior of two systems which seem to exhibit near scale-free behavior--rank-frequency distributions of number of subtaxa in biology, and abundance distributions of genotypes in an artificial life system. In the light of these, we discuss distributions of avalanche sizes in the Bak-Tang-Wiesenfeld sandpile model.

Affiliated with

Also associated with

No associations

Rating

Critical and Near-Critical Branching Processes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Critical and Near-Critical Branching Processes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical and Near-Critical Branching Processes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-617170