Invariant measure

en

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Invariant measure

Quality:

Invariant measure - concept in mathematics. Article “Invariant measure” in English Wikipedia has 12.4 points for quality (as of July 1, 2025). The article contains 1 references and 4 sections.

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

Since the creation of article “Invariant measure”, its content was written by 16 registered users of English Wikipedia and edited by 33 registered Wikipedia users in all languages.

The article is cited 282 times in English Wikipedia and cited 309 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #219287 in May 2014
  • Global: #240978 in February 2009

The highest popularity rank from 2008:

  • Local (English): #531700 in April 2014
  • Global: #788975 in April 2015

There are 4 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
1Russian (ru)
Инвариантная мера
17.5605
2English (en)
Invariant measure
12.4227
3Japanese (ja)
不変測度
5.4531
4Polish (pl)
Miara niezmiennicza
3.5507
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 "Invariant measure" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Invariant measure
195 783
2Russian (ru)
Инвариантная мера
18 857
3Japanese (ja)
不変測度
14 331
4Polish (pl)
Miara niezmiennicza
12 024
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 "Invariant measure" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Invariant measure
835
2Russian (ru)
Инвариантная мера
102
3Japanese (ja)
不変測度
101
4Polish (pl)
Miara niezmiennicza
41
More...

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

The highest AI

Language versions of the article "Invariant measure" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Invariant measure
16
2Russian (ru)
Инвариантная мера
8
3Polish (pl)
Miara niezmiennicza
6
4Japanese (ja)
不変測度
3
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 "Invariant measure" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Invariant measure
0
2Japanese (ja)
不変測度
0
3Polish (pl)
Miara niezmiennicza
0
4Russian (ru)
Инвариантная мера
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 "Invariant measure" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Invariant measure
282
2Japanese (ja)
不変測度
12
3Russian (ru)
Инвариантная мера
9
4Polish (pl)
Miara niezmiennicza
6
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
enEnglish
Invariant measure
jaJapanese
不変測度
plPolish
Miara niezmiennicza
ruRussian
Инвариантная мера

Popularity rank trends

Best Rank English:
#531700
04.2014
Global:
#788975
04.2015

AI rank trends

Best Rank English:
#219287
05.2014
Global:
#240978
02.2009

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Invariant measure from Wikipedia articles about Poincaré recurrence theorem, Haar measure, Measure-preserving dynamical system, Ergodic theory and Hyperbolic angle. Whereas reading the article about Invariant measure people most often go to Wikipedia articles on Krylov–Bogolyubov theorem, Ergodic theory, Ergodicity, Quasi-invariant measure and Pushforward measure.

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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In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

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