A Yule-Simon process with memory

Details A Yule-Simon process with memory A Yule-Simon process with memory

2006-08-30

arxiv.org/abs/cond-mat/0608672v1

Europhys. Lett. 76, 208 (2006)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 5 figures; accepted for publication in Europhysics Letters

Scientific paper

10.1209/epl/i2006-10263-9

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.

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