Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 12, Pages 30–33 (Mi ivm8756)  
This article is cited in 6 scientific papers (total in 6 papers)

The Zipf law for random texts with unequal letter probabilities and the Pascal pyramid

V. V. Bochkareva, E. Yu. Lernerb

a Chair of Radiophysics, Kazan (Volga Region) Federal University, Kazan, Russia
b Chair of Economic Cybernetics, Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (160 kB) Citations (6)
References:
PDF
HTML
Abstract: The model of word generation with independent unequal letter probabilities is analyzed in the article. It is proved that the probability $p(r)$ of words of rank $r$ has the power asymptotic behavior. Elementary methods not similar to Conrad and Mitzenmacher ones are used to represent a short proof of the theorem. We derive also an explicit formula of power.
Keywords: Zipf law, monkey model, order statistics, power laws, Pascal pyramid, recursive sequences, functional equations.
Received: 25.11.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 12, Pages 25–27
DOI: https://doi.org/10.3103/S1066369X12120031
Bibliographic databases:
Document Type: Article
UDC: 519.213
Language: Russian
Citation: V. V. Bochkarev, E. Yu. Lerner, “The Zipf law for random texts with unequal letter probabilities and the Pascal pyramid”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 12, 30–33; Russian Math. (Iz. VUZ), 56:12 (2012), 25–27
Citation in format AMSBIB
\Bibitem{BocLer12}
\by V.~V.~Bochkarev, E.~Yu.~Lerner
\paper The Zipf law for random texts with unequal letter probabilities and the Pascal pyramid
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 12
\pages 30--33
\mathnet{http://mi.mathnet.ru/ivm8756}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3137107}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 12
\pages 25--27
\crossref{https://doi.org/10.3103/S1066369X12120031}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84872231441}
Linking options:
  • https://www.mathnet.ru/eng/ivm8756
  • https://www.mathnet.ru/eng/ivm/y2012/i12/p30
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
    Statistics & downloads:
    Abstract page:261
    Full-text PDF :92
    References:32
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024