Statistics as a dynamical attractor
General Physics
2012-09-04 v1
Abstract
It is demonstrated that any statistics can be represented by an attractor of the solution to a corresponding systen of ODE coupled with its Liouville equation. Such a non-Newtonian representation allows one to reduce foundations of statistics to better established foundations of ODE. In addition to that, evolution to the attractor reveals possible micro-mechanisms driving random events to the final distribution of the corresponding statistical law. Special attention is concentrated upon the power law and its dynamical interpretation: it is demonstrated that the underlying dynamics supports a " violent reputation" of the power law statistics.
Cite
@article{arxiv.1209.0333,
title = {Statistics as a dynamical attractor},
author = {Michail Zak},
journal= {arXiv preprint arXiv:1209.0333},
year = {2012}
}
Comments
9 pages, 5 figures. arXiv admin note: text overlap with arXiv:1208.6500