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A Yule-Simon process with memory

by: Ciro Cattuto, Vittorio Loreto, and Vito D.P. Servedio

In: Europhysics Letters, Vol. 76, Nr. 2 (2006) , p. 208-214.

Abstract

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 a 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.

BibTeX record

@article{cls_yulesimon,
  abstract = {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 a 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.},
  added-at = {2007-08-23T11:07:46.000+0200},
  author = {Cattuto, Ciro and Loreto, Vittorio and Servedio, Vito D.P.},
  biburl = {http://www.bibsonomy.org/bibtex/2d9fd1ea1b4a9ffdaf68332409cf90b6e/vittorio.loreto},
  interhash = {e1dbe404fff4f827f443889685ce83f1},
  intrahash = {d9fd1ea1b4a9ffdaf68332409cf90b6e},
  journal = {Europhysics Letters},
  keywords = {2006 RMP_CFL cattuto loreto physsapienza servedio tagging tagorapub yulesimon},
  number = 2,
  pages = {208-214},
  timestamp = {2007-08-23T11:07:46.000+0200},
  title = {A Yule-Simon process with memory},
  volume = 76,
  year = 2006
}

Endnote record