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Kolmogorov–Arnold–Moser theorem

result in dynamical systems about the persistence of quasiperiodic motions under small perturbations; partly resolves the small-divisor problem that arises in the perturbation theory of classical mechanics
Intangible theorem Q587081
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Kolmogorov–Arnold–Moser theorem

Summary

Kolmogorov–Arnold–Moser theorem is a theorem[1]. It draws 107 Wikipedia views per month (theorem category, ranking #173 of 1,306).[2]

Key Facts

  • Kolmogorov–Arnold–Moser theorem is credited with the discovery of Andrey Kolmogorov[3].
  • Kolmogorov–Arnold–Moser theorem is credited with the discovery of Vladimir Arnold[4].
  • Kolmogorov–Arnold–Moser theorem's instance of is recorded as theorem[5].
  • Jürgen Moser is named after Kolmogorov–Arnold–Moser theorem[6].
  • Andrey Kolmogorov is named after Kolmogorov–Arnold–Moser theorem[7].
  • Vladimir Arnold is named after Kolmogorov–Arnold–Moser theorem[8].
  • Kolmogorov–Arnold–Moser theorem's part of is recorded as list of theorems[9].
  • Kolmogorov–Arnold–Moser theorem's Freebase ID is recorded as /m/04b99[10].
  • Kolmogorov–Arnold–Moser theorem's studied by is recorded as calculus[11].
  • Kolmogorov–Arnold–Moser theorem's MathWorld ID is recorded as Kolmogorov-Arnold-MoserTheorem[12].
  • Kolmogorov–Arnold–Moser theorem's World of Physics ID is recorded as Kamiltonian[13].
  • Kolmogorov–Arnold–Moser theorem's maintained by WikiProject is recorded as WikiProject Mathematics[14].
  • Kolmogorov–Arnold–Moser theorem's Microsoft Academic ID is recorded as 8522634[15].
  • Kolmogorov–Arnold–Moser theorem's OpenAlex ID is recorded as C8522634[16].
  • Kolmogorov–Arnold–Moser theorem's Encyclopedia of China is recorded as 251784[17].
  • Kolmogorov–Arnold–Moser theorem's Encyclopedia of China is recorded as 191756[18].
  • Kolmogorov–Arnold–Moser theorem's Great Russian Encyclopedia portal ID is recorded as kam-teoriia-68ceda[19].

Body

Works and Contributions

Credited discoveries include Andrey Kolmogorov[3], a mathematician[20], 1903–1987[21], of Russian Empire[22], awarded the Lobachevsky Prize[23], specialised in probability theory[24] and Vladimir Arnold[4], a mathematician[25], 1937–2010[26], of Soviet Union[27], awarded the Lenin Prize[28], specialised in mathematical analysis[29].

Why It Matters

Kolmogorov–Arnold–Moser theorem draws 107 Wikipedia views per month (theorem category, ranking #173 of 1,306).[2] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[30] It is known by 9 alternative names across languages and contexts.[31]

Related Entities

Andrey Kolmogorov Vladimir Arnold

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [5] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . Freebase Data Dumps. wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . wikidata.org.
  13. [15] ↑ . wikidata.org.
  14. [16] ↑ . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  15. [17] ↑ . wikidata.org.
  16. [18] ↑ . wikidata.org.
  17. [19] ↑ . wikidata.org.

Inline context (facts about related entities)

  1. [20] ↑ . Wikidata. wikidata.org. → on this site
  2. [21] ↑ . Wikidata. wikidata.org. → on this site
  3. [22] ↑ . Wikidata. wikidata.org. → on this site
  4. [23] ↑ . Wikidata. wikidata.org. → on this site
  5. [24] ↑ . Wikidata. wikidata.org. → on this site
  6. [25] ↑ . Wikidata. wikidata.org. → on this site
  7. [26] ↑ . Wikidata. wikidata.org. → on this site
  8. [27] ↑ . Wikidata. wikidata.org. → on this site
  9. [28] ↑ . Wikidata. wikidata.org. → on this site
  10. [29] ↑ . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [30] ↑ . Wikidata sitelinks. wikidata.org.
  3. [31] ↑ . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Kolmogorov–Arnold–Moser theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/kolmogorov-arnold-moser-theorem
MLA “Kolmogorov–Arnold–Moser theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/kolmogorov-arnold-moser-theorem.
BibTeX @misc{4ortxyz_kolmogorov-arnold-moser-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Kolmogorov–Arnold–Moser theorem}}, year = {2026}, url = {https://4ort.xyz/entity/kolmogorov-arnold-moser-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Kolmogorov–Arnold–Moser theorem — https://4ort.xyz/entity/kolmogorov-arnold-moser-theorem (retrieved 2026-05-03)

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