Dynamical billiards

en

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Dynamical billiards

Quality:

Dynamical billiards - dynamical system abstract an ideal game of billiards, with elastic collisions off boundaries. Article “Dynamical billiards” in English Wikipedia has 57 points for quality (as of July 1, 2025). The article contains 25 references and 21 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 “Dynamical billiards”, its content was written by 85 registered users of English Wikipedia and edited by 162 registered Wikipedia users in all languages.

The article is cited 153 times in English Wikipedia and cited 203 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #34931 in August 2005
  • Global: #99347 in August 2005

The highest popularity rank from 2008:

  • Local (English): #220442 in June 2008
  • Global: #323966 in June 2008

There are 10 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)
Dynamical billiards
57
2French (fr)
Billard (mathématiques)
26.7389
3German (de)
Dynamisches Billard
24.4417
4Slovenian (sl)
Dinamični biljard
22.751
5Arabic (ar)
البلياردو الديناميكي
21.9596
6Bulgarian (bg)
Динамичен билярд
15.6348
7Spanish (es)
Billar dinámico
14.6643
8Hebrew (he)
ביליארד דינמי
10.072
9Indonesian (id)
Biliar dinamis
7.2502
10Portuguese (pt)
Bilhar dinâmico
4.6906
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 "Dynamical billiards" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Dynamical billiards
332 361
2French (fr)
Billard (mathématiques)
27 865
3Spanish (es)
Billar dinámico
23 848
4Portuguese (pt)
Bilhar dinâmico
7 848
5German (de)
Dynamisches Billard
5 872
6Slovenian (sl)
Dinamični biljard
5 041
7Hebrew (he)
ביליארד דינמי
1 258
8Arabic (ar)
البلياردو الديناميكي
356
9Indonesian (id)
Biliar dinamis
208
10Bulgarian (bg)
Динамичен билярд
77
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 "Dynamical billiards" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Dynamical billiards
2 194
2French (fr)
Billard (mathématiques)
114
3Spanish (es)
Billar dinámico
70
4German (de)
Dynamisches Billard
34
5Slovenian (sl)
Dinamični biljard
27
6Portuguese (pt)
Bilhar dinâmico
25
7Hebrew (he)
ביליארד דינמי
11
8Bulgarian (bg)
Динамичен билярд
9
9Arabic (ar)
البلياردو الديناميكي
4
10Indonesian (id)
Biliar dinamis
4
More...

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

The highest AI

Language versions of the article "Dynamical billiards" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Dynamical billiards
85
2French (fr)
Billard (mathématiques)
29
3Spanish (es)
Billar dinámico
16
4Hebrew (he)
ביליארד דינמי
11
5Portuguese (pt)
Bilhar dinâmico
8
6German (de)
Dynamisches Billard
6
7Slovenian (sl)
Dinamični biljard
4
8Arabic (ar)
البلياردو الديناميكي
1
9Bulgarian (bg)
Динамичен билярд
1
10Indonesian (id)
Biliar dinamis
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 "Dynamical billiards" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Arabic (ar)
البلياردو الديناميكي
0
2Bulgarian (bg)
Динамичен билярд
0
3German (de)
Dynamisches Billard
0
4English (en)
Dynamical billiards
0
5Spanish (es)
Billar dinámico
0
6French (fr)
Billard (mathématiques)
0
7Hebrew (he)
ביליארד דינמי
0
8Indonesian (id)
Biliar dinamis
0
9Portuguese (pt)
Bilhar dinâmico
0
10Slovenian (sl)
Dinamični biljard
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 "Dynamical billiards" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Dynamical billiards
153
2French (fr)
Billard (mathématiques)
15
3Spanish (es)
Billar dinámico
12
4German (de)
Dynamisches Billard
7
5Portuguese (pt)
Bilhar dinâmico
6
6Arabic (ar)
البلياردو الديناميكي
3
7Hebrew (he)
ביליארד דינמי
2
8Indonesian (id)
Biliar dinamis
2
9Slovenian (sl)
Dinamični biljard
2
10Bulgarian (bg)
Динамичен билярд
1
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
arArabic
البلياردو الديناميكي
bgBulgarian
Динамичен билярд
deGerman
Dynamisches Billard
enEnglish
Dynamical billiards
esSpanish
Billar dinámico
frFrench
Billard (mathématiques)
heHebrew
ביליארד דינמי
idIndonesian
Biliar dinamis
ptPortuguese
Bilhar dinâmico
slSlovenian
Dinamični biljard

Popularity rank trends

Best Rank English:
#220442
06.2008
Global:
#323966
06.2008

AI rank trends

Best Rank English:
#34931
08.2005
Global:
#99347
08.2005

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Dynamical billiards from Wikipedia articles about Stadium, Hamiltonian system, Dynamical system, Chaos theory and List of unsolved problems in mathematics. Whereas reading the article about Dynamical billiards people most often go to Wikipedia articles on Hadamards dynamical system, Fermi–Ulam model, Arithmetic billiards, Quantum mirage and Artin billiard.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 15 February 2026

On 15 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Wuthering Heights, 2026 Winter Olympics, Epstein files, Ilia Malinin, Wuthering Heights, Ghislaine Maxwell, Lucas Pinheiro Braathen, 2026 Winter Olympics medal table, Valentine's Day.

In English Wikipedia the most popular articles on that day were: Jeffrey Epstein, Wuthering Heights, Wuthering Heights (2026 film), 2026 Winter Olympics, Lucas Pinheiro Braathen, Ice hockey at the 2026 Winter Olympics – Men's tournament, Epstein files, John F. Kennedy Jr., Anthony Kim, James Van Der Beek.

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