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Nature 395, 269-272 (17 September 1998) | doi:10.1038/26212; Received 30 March 1998; Accepted 25 June 1998 Dynamic topography, plate driving forces and th...Nature 395, 269-272 (17 September 1998) | doi:10.1038/26212; Received 30 March 1998; Accepted 25 June 1998 Dynamic topography, plate driving forces and the African superswell Carolina Lithgow-Bertelloni1,2 and Paul G. Silver1

Zipf's Law and Miller's Random-Monkey Model JSTOR: The American Journal of Psychology: Vol. 81, No. 2 (Jun., 1968), pp. 269-272

List of publications

Nature 179, 595 (16 March 1957); doi:10.1038/179595a0 Distribution of Word Frequencies I. J. GOOD 25 Scott House, Princess Elizabeth Way, Cheltenh...Nature 179, 595 (16 March 1957); doi:10.1038/179595a0 Distribution of Word Frequencies I. J. GOOD 25 Scott House, Princess Elizabeth Way, Cheltenham. THE purpose of this communication is to explain, in terms of the theory of information, the implications of the Zipf distribution of word frequencies1. The distribution is formally identical with the Pareto income and Willis taxonomic distributions, but the present discussion is restricted to word frequencies. The discussion resembles that of Mandelbrot2 but is simpler. The discussion by Parker-Rhodes and Joyce3 also resembles Mandelbrot's, but is fallacious.

Letters to Nature Nature 178, 1308 (08 December 1956); doi:10.1038/1781308a0 A Theory of Word-Frequency Distribution A. F. PARKER-RHODES & T. JOYCE ...Letters to Nature Nature 178, 1308 (08 December 1956); doi:10.1038/1781308a0 A Theory of Word-Frequency Distribution A. F. PARKER-RHODES & T. JOYCE Cambridge Language Research Unit, 20 Millington Road, Cambridge. THE object of this communication is to show that a certain remarkably simple experimental relation governing word-frequencies in language can be explained by a simple model of the process of searching for information, about each word heard or read, in the memory of words employed in the language faculty.

Cover, T. King, R. Abstract In his original paper on the subject, Shannon found upper and lower bounds for the entropy of printed English based on...Cover, T. King, R. Abstract In his original paper on the subject, Shannon found upper and lower bounds for the entropy of printed English based on the number of trials required for a subject to guess subsequent symbols in a given text. The guessing approach precludes asymptotic consistency of either the upper or lower bounds except for degenerate ergodic processes. Shannon's technique of guessing the next symbol is altered by having the subject place sequential bets on the next symbol of text.....

Bibliography on Zipf's law

Damián Zanette Marcelo Montemurro Abstract We investigate the origin of Zipf's law for words in written texts by means of a stochastic dynamic model fo...Damián Zanette Marcelo Montemurro Abstract We investigate the origin of Zipf's law for words in written texts by means of a stochastic dynamic model for text generation. The model incorporates both features related to the general structure of languages and memory effects inherent to the production of long coherent messages in the communication process. It is shown that the multiplicative dynamics of our model lead to rank-frequency distributions in quantitative agreement with empirical data. Our results give support to the linguistic relevance of Zipf's law in human language.

Abstracts of contents

Le Quan Ha Queen's University of Belfast, Belfast, Northern Ireland E. I. Sicilia-Garcia Ji Ming F. J. Smith Zipf's law states that the frequency ...Le Quan Ha Queen's University of Belfast, Belfast, Northern Ireland E. I. Sicilia-Garcia Ji Ming F. J. Smith Zipf's law states that the frequency of word tokens in a large corpus of natural language is inversely proportional to the rank. The law is investigated for two languages English and Mandarin and for n-gram word phrases as well as for single words. The law for single words is shown to be valid only for high frequency words. However, when single word and n-gram phrases are combined together in one list and put in order of frequency the combined list follows Zipf's law accurately for all words and phrases, down to the lowest frequencies in both languages. The Zipf curves for the two languages are then almost identical.

R. Bailón-Moreno1 Contact Information, E. Jurado-Alameda2, R. Ruiz-Baños3 and J. P. Courtial4 Summary The bibliometric laws of Zipf, Bradfo...R. Bailón-Moreno1 Contact Information, E. Jurado-Alameda2, R. Ruiz-Baños3 and J. P. Courtial4 Summary The bibliometric laws of Zipf, Bradford, and Lotka, in their various mathematical expressions, frequently present difficulties in the fitting of empirical values. The empirical flaws of fit take place in the frequency of the words, in the productivity of the authors and the journals, as well as in econometric and demographic aspects. This indicates that the underlying fractal model should be revised, since, as shown, the inverse power equations (of the Zipf-Mandelbrot type) are not adequate, as they need to include exponential terms. These modifications not only affect Bibliometrics and Scientometrics, but also, for the generality of the fractal model, apply to Economy, Demography, and even Natural Sciences in general.

A Baldassarri and A Barrat and G D'Anna and V Loreto and P Mayor and A Puglisi Journal of Physics: Condensed Matter17(24):S2405-S2428(2005)

Andrea Baldassarri and Marco Montuori and Olga Prieto-Ballesteros and Susanna Cueva Manrubia Journal of Geophysical Research(2008) in press .

Federico Ferrazza fazi, (2008)

Börkur Sigurbjörnsson and Roelof van Zwol WWW '08: Proceeding of the 17th international conference on World Wide Web, page327--336. New York, NY, USA, ACM, (2008)

Paul Heymann and Georgia Koutrika and Hector Garcia-Molina WSDM '08: Proceedings of the international conference on Web search and web data mining, page195--206. New York, NY, USA, ACM, (2008)

David E. Smith and Maria T. Zuber and Gregory A. Neumann and Frank G. Lemoine JOURNAL OF GEOPHYSICAL RESEARCH102(E 1):1591-1611(1997)

Paul Heymann and Georgia Koutrika and Hector Garcia-Molina IEEE Internet Computing11(6):36--45(2007)

A. Petri and A. Baldassarri and F. Dalton and G. Pontuale and L. Pietronero and S. Zapperi The European Physical Journal B - Condensed Matter and Complex Systems(2008)

R. Crane and D. Sornette (2008)

Ben Shneiderman Science319(5868):1349-1350(2008)

Martin Szomszor and Ciro Cattuto and Harith Alani and Kieron O’Hara and Andrea Baldassarri and Vittorio Loreto and Vito D.P. Servedio Bridging the Gap between Semantic Web and Web 2.0 (SemNet 2007), page71-84. (2007)

Ravi Kumar and Jasmine Novak and Andrew Tomkins KDD '06: Proceedings of the 12th ACM SIGKDD international conference on Knowledge discovery and data mining, page611--617. New York, NY, USA, ACM, (2006)

Yifan Chen and Gui-Rong Xue and Yong Yu WSDM, page251-260. ACM, (2008)

J. A. C. Martins and J. T. Oden and F. M. F. Simoes International Journal Engeneering Science28(1):29-92(1990)

TRISTAN BAUMBERGER and CHRISTIANE CAROLI Advances in Physics55(3-4):279-348(2006)

Adrian Dragulescu and Victor M. Yakovenko PHYSICA A(2001)

Ricardo Baeza-Yates (2007)

Ricardo Baeza-Yates and Alessandro Tiberi KDD '07: Proceedings of the 13th ACM SIGKDD international conference on Knowledge discovery and data mining, page76--85. New York, NY, USA, ACM, (2007)

G. A. Bird Physics of Fluids13(11):2676-2681(1970)