[1] M.A. Nowak, D.C. Krakauer, The evolution of language, Proc. Natl. Acad. Sci. USA 96 (1999) 8028-8033. | UIUC | |
[2] M.A. Nowak, J.B. Plotkin, D.C. Krakauer, The evolutionary language game, J. Theor. Biol. 200 (1999) 147-162. | UIUC | |
[3] R.M. Seyfarth, D. Cheney, P. Marler, Vervet monkey alarm calls: semantic communication in a freeranging primate, Anim. Beha. 28 (1980) 1070-1094. | ||
[4] Y. Ravin, C. Leacock (Eds.), Polysemy, Theoretical and Computational Approaches, Oxford University Press, New York, 2000. | ||
[5] M.D. Hauser, The Evolution of Communication, MIT Press, Cambridge, MA, 1996. | UIUC | |
[6] S.R. Ellis, R.J. Hitchcock, The emergence of Zipf's law: spontaneous encoding by users of a command language, IEEE Trans. Syst. Man Cybern. 16 (3) (1986) 423-427. | ||
[7] J.D. Burgos, Fractal representation of the immune b cell repertoire, BioSystems 39 (1996) 19-24. | ||
[8] J.D. Burgos, P. Moreno-Tovar, Zipf-scaling behavior in the immune system, BioSystems 39 (1996) 227-232. | ||
[9] R.B. Ash, Information Theory, Wiley, New York, 1965. | ||
[10] G.K. Zipf, Human Behaviour and the Principle of Least Effort. An Introduction to Human Ecology, Hafner reprint, New York, 1972, first ed.: Addison-Wesley, Cambridge, MA, 1949. | ||
[11] V.K. Balasubrahmanyan, S. Naranan, Quantitative linguistics and complex system studies, J. Quant. Linguistics 3 (3) (1996) 177-228. | ||
[12] R. Ferrer i Cancho, R.V. SoleŽ , Two regimes in the frequency of words and the origin of complex lexicons: Zipf's law revisited, J. Quant. Linguistics 8 (3) (2001) 165-173. | UIUC | |
[13] Frequencies obtained from A. Kilgarriff's word-frequency list of the British National corpus, (http:// www.itri.brighton.ac.uk/$Adam.Kilgarriff/bnc-readme.html). | ||
[14] R. Ferrer i Cancho, Core and peripheral lexicon through word length optimization, IEEE Trans. Inform. Theory, submitted. | ||
[15] J.F. Michell, Who Wrote Shakespeare?, Thames & Hudson, Slovenia, 1999. | ||
[16] Statistics performed on the bash history file of an anonymous experienced user at the Complex Systems Lab. | ||
[17] R. Ferrer i Cancho, R.V. SoleŽ , Least effort and the origins of scaling in human language, Proc. Natl. Acad. Sci. USA 100 (2003) 788-791. | UIUC | |
[18] B. Mandelbrot, An informational theory of the statistical structure of language, in: W. Jackson (Ed.), Communication Theory, Butterworths, London, 1953, p. 486. | ||
[19] H.A. Simon, On a class of skew distribution functions, Biometrika 42 (1955) 425-440. | ||
[20] G.A. Miller, Some effects of intermittent silence, Am. J. Psychol. 70 (1957) 311-314. | ||
[21] J.S. Nicolis, Chaos and Information Processing, World Scientific, Singapore, 1991. | ||
[22] W. Li, Random texts exhibit Zipf's-law-like word frequency distribution, IEEE Trans. Inform. Theory 38 (6) (1992) 1842-1845. | ||
[23] S. Naranan, V. Balasubrahmanyan, Models for power-law relations in linguistics and information science, J. Quant. Linguistics 5 (1-2) (1998) 35-61. | ||
[24] P. Harremoeš s, F. Tops^e, Zipf's law, hyperbolic distributions and entropy loss, in: IEEE International Symposium on Information Theory, 2002, in press. | ||
[25] W. Li, Letters to the editor, Complexity 3 (1998) 9-10; A.A. Tsonis, C. Schultz, P.A. Tsonis, comments to ``Zipf's law and the structure and evolution of languages'', Complexity 2 (5) (1997) 12-13. | ||
[26] M.A. Montemurro, Beyond the Zipf-Mandelbrot law in quantitative linguistics, Physica A 300 (2001) 567-578 cond-mat/0104066. | ||
[27] L. Pietronero, E. Tosatti, V. Tosatti, A. Vespignani, Explaining the uneven distribution of number in nature: the laws of Benford and Zipf, Physica A 293 (2001) 297-304. | ||
[28] S. Denisov, Fractal binary sequences: Tsallis thermodynamics and the Zipf's law, Phys. Lett. A 235 (1997) 447-451. | ||
[29] A.G. Bashkirov, A.V. Vityazev, Information entropy and power-law distribution for chaotic systems, Physica A 277 (2000) 136-145. | ||
[30] J. Binney, N. Dowrick, A. Fisher, M. Newman, The Theory of Critical Phenomena. An Introduction to the Renormalization Group, Oxford University Press, New York, 1992. | ||
[31] J.N. Kapur, Maximum Entropy Models in Science and Engineering, Wiley, New Delhi, 1989 (Ch. Maximum-entropy discrete univariate probability distributions, pp. 30-43). | ||
[32] E.W. Montroll, M.F. Shlesinger, Maximum entropy formalism, fractals, scaling phenomena, and 1=f noise: a tale of tails, J. Stat. Phys. 32 (1983) 209-230. | ||
[33] H. Haken, Synergetics--An Introduction: Nonequilibrium Phase Transitions & Self-Organization in Physics, Chemistry & Biology, Springer, New York, 1979. | ||
[34] S. Naranan, Statistical laws in information science, language and system of natural numbers: some striking similarities, J. Sci. Ind. Res. 51 (1992) 736-755. | ||
[35] S. Naranan, V. Balasubrahmanyan, Information theoretic models in statistical linguistics--part I: a model for word frequencies, Curr. Sci. 63 (1992) 261-269. | ||
[36] T.M. Cover, J.A. Thomas, Elements of Information Theory, Wiley, New York, 1991. | ||
[37] R. Suzuki, P.L. Tyack, J. Buck, The use of Zipf's law in animal communication analysis, Anim. Beha., accepted. | ||
[38] N. Chomsky, Aspects of the Theory of Syntax, MIT Press, Cambridge, MA, 1965. | ||
[39] D. Bickerton, Language and Species, Chicago University Press, Chicago, 1990. | UIUC | |
[40] R. Jackendoff, Patterns in this Mind, Basic Books, New York, 1994. |
| HOME :: Back to the Paper :: References | Comments to: junwang4 you-know-at gmail.com | Last update: 11/16/07 |