Unidirectional Random Growth with Resetting
Physics and Society
2018-03-14 v1 Disordered Systems and Neural Networks
High Energy Physics - Phenomenology
Abstract
We review and classify stochastic processes without detailed balance condition. We obtain stationary distributions and investigate their stability in terms of generalized entropic divergences beyond the Kullback-Leibler formula. A simple stochastic model with local growth rates and direct resetting to the ground state is investigated and applied to various networks, scientific citations and Facebook popularity, hadronic yields in high energy particle reactions, income and wealth distributions, biodiversity and settlement size distribution.
Cite
@article{arxiv.1711.11331,
title = {Unidirectional Random Growth with Resetting},
author = {Tamas S Biro and Zoltan Neda},
journal= {arXiv preprint arXiv:1711.11331},
year = {2018}
}
Comments
31 pages mini-review, submitted to Physica A