Measure-preserving dynamical system

en

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Measure-preserving dynamical system

Quality:

Measure-preserving dynamical system - subject of study in ergodic theory. Article “Measure-preserving dynamical system” in English Wikipedia has 39.9 points for quality (as of July 1, 2025). The article contains 15 references and 14 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

Since the creation of article “Measure-preserving dynamical system”, its content was written by 56 registered users of English Wikipedia and edited by 95 registered Wikipedia users in all languages.

The article is cited 192 times in English Wikipedia and cited 256 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #21239 in December 2003
  • Global: #39933 in December 2003

The highest popularity rank from 2008:

  • Local (English): #284332 in March 2015
  • Global: #461725 in March 2015

There are 6 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
1English (en)
Measure-preserving dynamical system
39.9197
2Japanese (ja)
測度保存力学系
11.0101
3German (de)
Maßerhaltende Abbildung
8.7361
4French (fr)
Système dynamique mesuré
2.7549
5Chinese (zh)
保测动力系统
2.1074
6Portuguese (pt)
Sistema dinâmico preservando medida
0.4282
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 "Measure-preserving dynamical system" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Measure-preserving dynamical system
352 013
2French (fr)
Système dynamique mesuré
10 860
3Japanese (ja)
測度保存力学系
9 635
4German (de)
Maßerhaltende Abbildung
8 512
5Chinese (zh)
保测动力系统
4 281
6Portuguese (pt)
Sistema dinâmico preservando medida
2 382
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 "Measure-preserving dynamical system" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Measure-preserving dynamical system
1 662
2Japanese (ja)
測度保存力学系
91
3German (de)
Maßerhaltende Abbildung
32
4French (fr)
Système dynamique mesuré
25
5Chinese (zh)
保测动力系统
22
6Portuguese (pt)
Sistema dinâmico preservando medida
12
More...

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

The highest AI

Language versions of the article "Measure-preserving dynamical system" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Measure-preserving dynamical system
56
2French (fr)
Système dynamique mesuré
15
3German (de)
Maßerhaltende Abbildung
11
4Chinese (zh)
保测动力系统
5
5Japanese (ja)
測度保存力学系
4
6Portuguese (pt)
Sistema dinâmico preservando medida
4
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 "Measure-preserving dynamical system" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Maßerhaltende Abbildung
0
2English (en)
Measure-preserving dynamical system
0
3French (fr)
Système dynamique mesuré
0
4Japanese (ja)
測度保存力学系
0
5Portuguese (pt)
Sistema dinâmico preservando medida
0
6Chinese (zh)
保测动力系统
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 "Measure-preserving dynamical system" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Measure-preserving dynamical system
192
2German (de)
Maßerhaltende Abbildung
34
3Japanese (ja)
測度保存力学系
13
4French (fr)
Système dynamique mesuré
10
5Portuguese (pt)
Sistema dinâmico preservando medida
5
6Chinese (zh)
保测动力系统
2
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
Maßerhaltende Abbildung
enEnglish
Measure-preserving dynamical system
frFrench
Système dynamique mesuré
jaJapanese
測度保存力学系
ptPortuguese
Sistema dinâmico preservando medida
zhChinese
保测动力系统

Popularity rank trends

Best Rank English:
#284332
03.2015
Global:
#461725
03.2015

AI rank trends

Best Rank English:
#21239
12.2003
Global:
#39933
12.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Measure-preserving dynamical system from Wikipedia articles about Ergodic theory, Topological entropy, Ergodicity, Liouvilles theorem and Poincaré recurrence theorem. Whereas reading the article about Measure-preserving dynamical system people most often go to Wikipedia articles on Poincaré recurrence theorem, Invariant measure, Ergodic theory, Krylov–Bogolyubov theorem and Sigma-algebra.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 10 February 2026

On 10 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Ghislaine Maxwell, Ilia Malinin, Bad Bunny, 2026 Winter Olympics, Epstein files, Jutta Leerdam, Jake Paul, Puerto Rico, Little Saint James.

In English Wikipedia the most popular articles on that day were: Bad Bunny, Jeffrey Epstein, Epstein files, Ilia Malinin, Savannah Guthrie, Ghislaine Maxwell, 2026 Winter Olympics, List of Super Bowl halftime shows, Eileen Gu, Jutta Leerdam.

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