Vladimir I. Arnold
Computational Theory and Mathematics · 2000–2020
A researcher in the Science corpus: 9 papers; trusts 4 researchers and is trusted by 6 researchers here, as inferred from the citation graph.
Subfields
- Computational Theory and Mathematics — 20 citations into it
- Geometry and Topology — 14 citations into it
- Numerical Analysis — 10 citations into it
Whom Vladimir I. Arnold trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- Martyn Marshall
- Karin Gatermann
- Claus Scheiderer
- David Grimm
- Pablo A. Parrilo
- Jean B. Lasserre
- Monique Laurent
- Grigoriy Blekherman
- Tim Netzer
Who trusts Vladimir I. Arnold overall
- Ruedi Suter
- Jonas Haferkamp
- Alexander Gorodnik
- Xin Zhou
- Jiawang Nie
- Matus Telgarsky
- David Corfield
- David Tall
Papers from Vladimir I. Arnold's perspective
Ordered by how strongly the researchers Vladimir I. Arnold trusts endorse each paper. Same corpus, a different order for every researcher.
- Global Optimization with Polynomials and the Problem of Moments (SIAM Journal on Optimization)
- Symmetry groups, semidefinite programs, and sums of squares
- A note on the representation of positive polynomials with structured sparsity
- Sums of Squares, Moment Matrices and Optimization Over Polynomials
- Positive polynomials and sums of squares
- Approximation of the Stability Number of a Graph via Copositive Programming (SIAM Journal on Optimization)
- Algebraic and Arithmetic Theory of Quadratic Forms
- Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization
- Distinguished representations of strictly positive polynomials
- Semidefinite programming relaxations for semialgebraic problems
Their papers
- Instability of Dynamical Systems with Several Degrees of Freedom (2020) — 156 citations
- Real algebraic geometry (2013) — 1,051 citations
- Complex Algebraic Curves (2013) — 81 citations
- Singularities of Differentiable Maps, Volume 1 (2012) — 222 citations
- Singularities of Differentiable Maps, Volume 2: Monodromy and Asymptotics of Integrals (2012) — 107 citations
- On the representation of functions of several variables as a superposition of functions of a smaller number of variables (2009) — 58 citations
- Arnold's Problems (2008) — 96 citations
- Mathematics: Frontiers and Perspectives (2000) — 190 citations
- Polymathematics: Is mathematics a single science or a set of arts? (2000) — 57 citations