Denjoy's theorem on rotation number

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Denjoy's theorem on rotation number

Quality:

Denjoy's theorem on rotation number - When a diffeomorphism of the circle is topologically conjugate to an irrational rotation. Article "Denjoy's theorem on rotation number" in English Wikipedia has 8.5 points for quality (as of July 1, 2025). The article contains 0 references and 5 sections.

This article has the best quality in German Wikipedia. However, this article is the most popular in English version.

Since the creation of article "Denjoy's theorem on rotation number", its content was written by 16 registered users of English Wikipedia and edited by 27 registered Wikipedia users in all languages.

The article is cited 6 times in English Wikipedia and cited 14 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #225312 in July 2023
  • Global: #375268 in October 2016

The highest popularity rank from 2008:

  • Local (English): #1957254 in April 2019
  • Global: #2377338 in February 2015

There are 3 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1German (de)
Satz von Denjoy
31.5349
2English (en)
Denjoy's theorem on rotation number
8.4584
3Russian (ru)
Теорема Данжуа
1.2323
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Denjoy's theorem on rotation number" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Denjoy's theorem on rotation number
19 273
2Russian (ru)
Теорема Данжуа
5 213
3German (de)
Satz von Denjoy
1 584
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Denjoy's theorem on rotation number" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Denjoy's theorem on rotation number
208
2Russian (ru)
Теорема Данжуа
20
3German (de)
Satz von Denjoy
5
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Denjoy's theorem on rotation number" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Denjoy's theorem on rotation number
16
2German (de)
Satz von Denjoy
10
3Russian (ru)
Теорема Данжуа
1
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Denjoy's theorem on rotation number" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Satz von Denjoy
0
2English (en)
Denjoy's theorem on rotation number
0
3Russian (ru)
Теорема Данжуа
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Denjoy's theorem on rotation number" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Denjoy's theorem on rotation number
6
2Russian (ru)
Теорема Данжуа
5
3German (de)
Satz von Denjoy
3
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Satz von Denjoy
enEnglish
Denjoy's theorem on rotation number
ruRussian
Теорема Данжуа

Popularity rank trends

Best Rank English:
#1957254
04.2019
Global:
#2377338
02.2015

AI rank trends

Best Rank English:
#225312
07.2023
Global:
#375268
10.2016

Languages comparison

Important global interconnections (July 2024 – June 2025)

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

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About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information