Models of Universal Power-Law Distributions

Details Models of Universal Power-Law Distributions Models of Universal Power-Law Distributions

2003-03-18

arxiv.org/abs/cond-mat/0303331v1

Physics

Condensed Matter

Statistical Mechanics

25 pages, figures included

Scientific paper

Power-law distributions with various exponents are studied. We first introduce a simple and generic model that reproduces Zipf's law. We can regard this model both as the time evolution of the population of cities and that of the asset distribution. We show that our model is very robust against various variations. Next, we explain theoretically why our model reproduces Zipf's law. By considering the time-evolution equation of our model, we see that the essence of Zipf's law is an asymmetric random walk in a logarithmic scale. Finally, we extend our model by introducing an additional asymmetry. We show that the extended model reproduces various power-law exponents. By extending the theoretical argument for Zipf's law, we find a simple equation of the power-law exponent.

Affiliated with

Also associated with

No associations

Rating

Models of Universal Power-Law Distributions 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 Models of Universal Power-Law Distributions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Models of Universal Power-Law Distributions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-118285