A Yule-Simon process with memory

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

The Yule-Simon model has been used as a tool to describe the growth of diverse systems, acquiring a paradigmatic character in many fields of research. Here we study a modified Yule-Simon model that takes into account the full history of the system by means of an hyperbolic memory kernel. We show how the memory kernel changes the properties of preferential attachment and provide an approximate analytical solution for the frequency distribution density as well as for the frequency-rank distribution.
7 pages, 5 figures; accepted for publication in Europhysics Letters

Keywords

Statistical Mechanics, Data Analysis, Statistics and Probability

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/114788

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0608672
 http://arxiv.org/abs/cond-mat/0608672
 Europhys. Lett. 76, 208 (2006)
 doi:10.1209/epl/i2006-10263-9

Collections

arXiv