A mathematical theory of citing, Simkin, MV; Roychowdhury, VP, JOURNAL OF THE AMERICAN SOCIETY FOR INFORMATION SCIENCE AND TECHNOLOGY 58 (11). SEP 2007. p.1661-1673
garfield at CODEX.CIS.UPENN.EDU
Thu Dec 6 11:06:41 EST 2007
E-mail Address: simkin at ee.ucla.edu
Author(s): Simkin, MV (Simkin, Mikhail V.); Roychowdhury, VP
(Roychowdhury, Vwani P.)
Title: A mathematical theory of citing
Source: JOURNAL OF THE AMERICAN SOCIETY FOR INFORMATION SCIENCE AND
TECHNOLOGY, 58 (11): 1661-1673 SEP 2007
Document Type: Article
Keywords Plus: NETWORKS; EVOLUTION; MODEL; CRITICALITY; ALLELES; CHANCE
Cited Reference Count: 50
Times Cited: 0
Publisher: JOHN WILEY & SONS INC
Publisher Address: 111 RIVER ST, HOBOKEN, NJ 07030 USA
Subject Category: Computer Science, Information Systems; Information
Science & Library Science
Abstract: Recently we proposed a model in which when a scientist writes a
manuscript, he picks up several random papers, cites them, and also copies
a fraction of their references. The model was stimulated by our finding
that a majority of scientific citations are copied from the lists of
references used in other papers. It accounted quantitatively for several
properties of empirically observed distribution of citations; however,
important features such as power-law distributions of citations to papers
published during the same year and the fact that the average rate of
citing decreases with aging of a paper were not accounted for by that
model. Here, we propose a modified model: When a scientist writes a
manuscript, he picks up several random recent papers, cites them, and also
copies some of their references. The difference with the original model is
the word recent. We solve the model using methods of the theory of
branching processes, and find that it can explain the aforementioned
features of citation distribution, which our original model could not
account for. The model also can explain "sleeping beauties in science;"
that is, papers that are little cited for a decade or so and
later "awaken" and get many citations. Although much can be understood
from purely random models, we find that to obtain a good quantitative
agreement with empirical citation data, one must introduce Darwinian
fitness parameter for the papers.
Addresses: Univ Calif Los Angeles, Dept Elect Engn, Los Angeles, CA 90095
Reprint Address: Simkin, MV, Univ Calif Los Angeles, Dept Elect Engn, Los
Angeles, CA 90095 USA.
E-mail Address: simkin at ee.ucla.edu; vwani at ee.ucla.edu
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