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Vladimir Arnold: Works, Mathematical work & Early life
Vladimir Igorevich Arnold (or Arnol'd; Russian: Влади́мир И́горевич Арно́льд, IPA: [vlɐˈdʲimʲɪr ˈiɡərʲɪvʲɪtɕ ɐrˈnolʲt]; 12 June 1937 – 3 June 2010) was a Soviet and Russian mathematician. He is best known for the Kolmogorov–Arnold–Moser theorem regarding the stability of integrable systems, and contributed to several areas, including geometrical theory…
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Vladimir Arnold topic overview
The analysis highlights Works, Mathematical work and Early life as prominent areas in the source structure around Vladimir Arnold.
Related topics
180
Source areas
7
Connected nodes
187
Extracted relationships
92
Concept neighborhoods
79
Bridge connections
187
What this topic covers Research coverage
Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.
Mathematical work · 68 topics
Overview · 38 topics
Honours and awards · 25 topics
Early life · 20 topics
Selected bibliography · 16 topics
Popular mathematical writings · 7 topics
Later life and death · 6 topics
Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.
Key facts & relationships
High-confidence facts extracted from structured source data. Use them as anchors for further research.
Alma mater
Moscow State University
Born
(1937-06-12)12 June 1937 Odessa, Ukrainian SSR, Soviet Union
Children
2
Citizenship
Soviet Union · Russia
Died
3 June 2010(2010-06-03) (aged 72) Paris, France
Doctoral advisor
Andrey Kolmogorov
Explore all related topics Closing gaps
A structured outline of related entities, concepts and subtopics. Open any item to build a new map centered on it.
Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.
Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.
How Vladimir Arnold connects Entity context
Entity context groups extracted connections by relationship type. Counts show recurrence in the analyzed source; the examples are research signals, not claims about importance.
The extracted context around Vladimir Arnold shows recurring relationship patterns in the source. For example, Vladimir Arnold → April, Arnold, Arnold Is Gone, Arnold's, Author, DOI, Flattenings, Gusein-Zade, IMAGINARY, Inna Scherbakh, June, Kutateladze, Legendrian Knots, Mathematical Sciences, Mathematics Genealogy ProjectS, Moscow Mathematical Society, MSRI, Plane Curves, Polterovich, Projective CurvesProblems Another extracted example is Vladimir Arnold → American Mathematical Society, April, Arnold, Boris, Coordinating Editors, Deutschen Mathematiker-Vereinigung, EMS Newsletter, Features, Free Oscillations, Inna Scherbak, ISBN, Jahresbericht, June, Khesin, Knotted Vortex Lines, Leonid Polterovich, March, Memories, Notices, Number. Use these groups to spot repeated connection types before inspecting the individual relationships.
Vladimir Arnold
Top relations
related to External links· 32
Vladimir Arnold → April, Arnold, Arnold Is Gone, Arnold's, Author, DOI, Flattenings, Gusein-Zade, IMAGINARY, Inna Scherbakh, June, Kutateladze, Legendrian Knots, Mathematical Sciences, Mathematics Genealogy ProjectS, Moscow Mathematical Society, MSRI, Plane Curves, Polterovich, Projective CurvesProblems
related to Further reading· 31
Vladimir Arnold → American Mathematical Society, April, Arnold, Boris, Coordinating Editors, Deutschen Mathematiker-Vereinigung, EMS Newsletter, Features, Free Oscillations, Inna Scherbak, ISBN, Jahresbericht, June, Khesin, Knotted Vortex Lines, Leonid Polterovich, March, Memories, Notices, Number
Doctoral students· 13
Vladimir Arnold → Alexander Givental, Alexander Varchenko, Askold Khovanskii, Boris Khesin, Boris Shapiro, Emil Horozov, Nikolay Nekhoroshev, Rifkat Bogdanov, Sabir Gusein-Zade, Victor Goryunov, Victor Vassiliev, Vladimir Zakalyukin, Yulij Ilyashenko
see also· 4
Vladimir Arnold → List, Mathematics, Problems, Vladimir ArnoldGeometric
Citizenship· 2
Vladimir Arnold → Russia, Soviet Union
Alma mater· 1
Vladimir Arnold → Moscow State University
Born· 1
Vladimir Arnold → (1937-06-12)12 June 1937 Odessa, Ukrainian SSR, Soviet Union
Children· 1
Vladimir Arnold → 2
Died· 1
Vladimir Arnold → 3 June 2010(2010-06-03) (aged 72) Paris, France
Doctoral advisor· 1
Vladimir Arnold → Andrey Kolmogorov
Important terminology
Frequent words and multi-word phrases across the lead, headings, infobox and body. Useful for terminology coverage.
Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.
Vladimir Arnold relationships Subject–Predicate–Object triples
Relationships are represented as Subject → Predicate → Object triples. Confidence describes extraction strength, not the real-world importance of a relationship; lower-confidence rows may be contextual rather than explicit.
TTTA extracted 92 structured relationships around Vladimir Arnold. Examples in this analysis include Vladimir Arnold → Alma mater → Moscow State University and Vladimir Arnold → Born → (1937-06-12)12 June 1937 Odessa, Ukrainian SSR, Soviet Union. The table shows each extracted connection, where it came from and its confidence.
Subject
Predicate
Object
Confidence
Src
Vladimir Arnold
Alma mater
Moscow State University
1.00
infobox
Vladimir Arnold
Born
(1937-06-12)12 June 1937 Odessa, Ukrainian SSR, Soviet Union
On The Representation of Continuous Functions of 3 Variables By The Superpositions of Continuous Functions of 2 Variables (1961)
1.00
infobox
Vladimir Arnold
Website
https://www.pdmi.ras.ru/~arnsem/Arnold/
1.00
infobox
Vladimir Arnold
Workplaces
Paris Dauphine University Steklov Institute of Mathematics Independent University of Moscow Moscow State University
1.00
infobox
No triples extracted yet.
Related concept clusters Concept neighborhoods
Concept neighborhoods group terms that sit near one another in the extracted graph. They are useful for discovering adjacent language and context, but proximity does not by itself imply a factual relationship.
The concept neighborhoods around Vladimir Arnold bring nearby vocabulary together. In this analysis, examples include Mathematical, Vladimir and Society. Use the clusters to find adjacent concepts and terminology that may deserve separate research.
Vladimir Arnold
Mathematical
Vladimir
Society
Theory
Mathematics
Kolmogorov
Topology
American
Systems
Theorem
University
Volume
vladimir arnold
Mathematical
Vladimir
Society
Theory
Mathematics
Kolmogorov
Topology
American
Systems
Theorem
University
Volume
real algebraic geometry
Geometry
Hydrodynamics
Classical
Differential
Equations
Systems
Mechanics
Symplectic
Theorem
Collected
Topology
Works
symplectic geometry
Topology
Hydrodynamics
Differential
Equations
Systems
Symplectic
Mechanics
Classical
Collected
Theory
Works
Problem
differential equations
Equations
Mechanics
Geometry
Hydrodynamics
Classical
Systems
Theory
Symplectic
Many
Kolmogorov
Topology
Mathematical
classical mechanics
Mechanics
Differential
Equations
Systems
Theorem
Symplectic
Geometry
Topology
Hydrodynamics
Theory
Problems
Problem
discrete mathematics
Arnold's
Problems
Many
Mathematical
Mechanics
Topology
Russian
Also
Theory
Vladimir
Problem
Conjecture
hilbert's thirteenth problem
Hilbert's
Problem
Functions
Systems
Also
University
Conjecture
Theorem
Many
Symplectic
Kolmogorov
Works
Connections between topic areas Semantic bridges
Semantic bridges connect parts of the graph that would otherwise be more separate. A bridge is a structural signal in this analysis, not a claim that the two topic areas are equivalent.
For Vladimir Arnold, one of the stronger structural bridges in this analysis connects Vladimir Arnold with Mathematical work. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.
Min side: 3
Vladimir Arnold — Mathematical work· splits 119 ⟂ 69Vladimir Arnold — Overview· splits 149 ⟂ 39Vladimir Arnold — Honours and awards· splits 162 ⟂ 26Vladimir Arnold — Early life· splits 167 ⟂ 21Vladimir Arnold — Selected bibliography· splits 171 ⟂ 17Vladimir Arnold — Popular mathematical writings· splits 180 ⟂ 8Vladimir Arnold — Later life and death· splits 181 ⟂ 7
Map overview Semantic statistics
Number of nodes, edges, triples, density and central hubs. Use it to gauge the size and connectivity of the map.
Vladimir Arnold
Nodes188
Edges187
Triples92
Avg. degree1.99
Density0.010638
Components1
Source & methodology
TTTA analyzes the structure around Vladimir Arnold to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Works, Mathematical work & Early life, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.
