Geodesic
On Zipf's law and rank distributions in linguistics and semiotics
Matematičeskie zametki, Tome 80 (2006) no. 5, pp. 718-732.

Voir la notice de l'article provenant de la source Math-Net.Ru

A number of formulas of linguistic statistics are refined. The notions of real and virtual cardinality of a sign are introduced. We show that a formula refining Zipf's law for the occurrence frequencies in frequency dictionaries can be extended to arbitrary sign objects, i.e., semiotic systems. 
@article{MZM_2006_80_5_a7,
     author = {V. P. Maslov and T. V. Maslova},
     title = {On {Zipf's} law and rank distributions in linguistics and semiotics},
     journal = {Matemati\v{c}eskie zametki},
     pages = {718--732},
     publisher = {mathdoc},
     volume = {80},
     number = {5},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_80_5_a7/}
}
TY  - JOUR
AU  - V. P. Maslov
AU  - T. V. Maslova
TI  - On Zipf's law and rank distributions in linguistics and semiotics
JO  - Matematičeskie zametki
PY  - 2006
SP  - 718
EP  - 732
VL  - 80
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2006_80_5_a7/
LA  - ru
ID  - MZM_2006_80_5_a7
ER  - 
%0 Journal Article
%A V. P. Maslov
%A T. V. Maslova
%T On Zipf's law and rank distributions in linguistics and semiotics
%J Matematičeskie zametki
%D 2006
%P 718-732
%V 80
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2006_80_5_a7/
%G ru
%F MZM_2006_80_5_a7
V. P. Maslov; T. V. Maslova. On Zipf's law and rank distributions in linguistics and semiotics. Matematičeskie zametki, Tome 80 (2006) no. 5, pp. 718-732. http://geodesic.mathdoc.fr/item/MZM_2006_80_5_a7/

[1] S. M. Gusein-Zade, “O raspredelenii bukv russkogo yazyka po chastote vstrechaemosti”, Problemy peredachi informatsii, 24:4 (1988), 102–107 | MR

[2] M. B. Malyutov, “Obzor metodov i primerov atributsii tekstov”, Obozrenie prikladnoi i promyshlennoi matematiki, 12:1 (2005), 41–77 | MR | Zbl

[3] N. A. Morozov, “Lingvisticheskie spektry: sredstvo dlya otlicheniya plagiatov ot istinnykh proizvedenii togo ili inogo izvestnogo avtora. Stilemetricheskii etyud”, Izvestiya otd. russkogo yazyka i slovesnosti Imp. Akad. nauk, XX:4 (1915)

[4] A. A. Markov, “Ob odnom primenenii statisticheskogo metoda”, Izvestiya Imp. Akad. nauk, seriya VI, Kh:4 (1916), 239

[5] M. V. Arapov, E. N. Efimova, Yu. A. Shreider, “O smysle rangovykh raspredelenii”, NTI, ser. 2, 1975, no. 1, 9–20 ; http://kudrinbi.ru/public/442/index.htm | Zbl

[6] V. P. Maslov, “Ob odnoi obschei teoreme teorii mnozhestv, privodyaschei k raspredeleniyu Gibbsa, Boze–Einshteina, Pareto i zakonu Tsipfa–Mandelbrota dlya fondovogo rynka”, Matem. zametki, 78:6 (2005), 870–877 | MR | Zbl

[7] V. P. Maslov, “Linguistic statistics”, Russ. J. Math. Phys., 13:3 (2006), 315–325 | DOI | MR | Zbl

[8] V. P. Maslov, “Zakon “otsutstviya predpochteniya” i sootvetstvuyuschie raspredeleniya v chastotnoi teorii veroyatnostei”, Matem. zametki, 80:2 (2006), 220–230 | MR | Zbl

[9] S. P. Kapitsa, S. P. Kurdyumov, G. G. Malinetskii, Sinergetika i prognozy buduschego, Editorial URSS, M., 2001

[10] Semiotika. Semiotika yazyka i literatury, Raduga, M., 1983

[11] A. N. Kolmogorov, Teoriya peredachi informatsii, Trudy sessii AN SSSR po voprosam avtomatizatsii proizvodstva, M., 1957