Preferential growth: Solution and application to modeling stock market
Statistical Mechanics
2009-11-07 v1
Abstract
We consider a preferential growth model where particles are added one by one to the system consisting of clusters of particles. A new particle can either form a new cluster (with probability q) or join an already existing cluster with a probability proportional to the size thereof. We calculate exactly the probability P_i(k,t) that the size of the i-th cluster at time t is k. We applied our model as a background for a microscopic economic model.
Cite
@article{arxiv.cond-mat/0105473,
title = {Preferential growth: Solution and application to modeling stock market},
author = {L. Kullmann and J. Kertesz},
journal= {arXiv preprint arXiv:cond-mat/0105473},
year = {2009}
}
Comments
7 pages, 4 figures, (submitted to Physica A)