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http://hdl.handle.net/1942/12912
Title: | A New Short Proof of Naranan's Theorem, Explaining Lotka's Law and Zipf's Law | Authors: | EGGHE, Leo | Issue Date: | 2010 | Publisher: | JOHN WILEY & SONS INC | Source: | JOURNAL OF THE AMERICAN SOCIETY FOR INFORMATION SCIENCE AND TECHNOLOGY, 61(12), p. 2581-2583 | Abstract: | Naranan's important theorem, published in Nature in 1970, states that if the number of journals grows exponentially and if the number of articles in each journal grows exponentially (at the same rate for each journal), then the system satisfies Lotka's law and a formula for the Lotka's exponent is given in function of the growth rates of the journals and the articles. This brief communication re-proves this result by showing that the system satisfies Zipf's law, which is equivalent with Lotka's law. The proof is short and algebraic and does not use infinitesimal arguments. | Notes: | Egghe, L (reprint author), Univ Hasselt UHasselt, B-3590 Diepenbeek, Belgium. leo.egghe@uhasselt.be | Keywords: | Naranan’s theorem; exponential growth; Lotka’s law; Zipf’s law. | Document URI: | http://hdl.handle.net/1942/12912 | ISSN: | 1532-2882 | DOI: | 10.1002/asi.21431 | ISI #: | 000284231100016 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2011 |
Appears in Collections: | Research publications |
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short 1.pdf Restricted Access | Published version | 52.62 kB | Adobe PDF | View/Open Request a copy |
short 2.pdf Restricted Access | 222.78 kB | Adobe PDF | View/Open Request a copy |
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