Vladimir Igorevich Arnold (alternative spelling Arnol'd, Russian: Влади́мир И́горевич Арно́льд, 12 June 1937 – 3 June 2010) was a Soviet and Russian mathematician...

The Arnold conjecture, named after mathematician Vladimir Arnold, is a mathematical conjecture in the field of symplectic geometry, a branch of differential...

Arnold Alois Schwarzenegger (born July 30, 1947) is an Austrian and American actor, businessman, filmmaker, former politician, and former professional...

In mathematics, Arnold's cat map is a chaotic map from the torus into itself, named after Vladimir Arnold, who demonstrated its effects in the 1960s using...

original Hilbert's thirteenth problem is a corollary. The works of Vladimir Arnold and Andrey Kolmogorov established that if f is a multivariate continuous...

twist maps) and Vladimir Arnold in 1963 (for analytic Hamiltonian systems), and the general result is known as the KAM theorem. Arnold originally thought...

existence of this class was conjectured by the Russian mathematician Vladimir Arnold in 1995 and proven in 2006 by the Hungarian scientists Gábor Domokos...

Kolmogorov–Arnold–Moser theorem, first presented in 1954 at the International Congress of Mathematicians. In 1957, working jointly with his student Vladimir Arnold...

after Vladimir Arnold, a Russian and Soviet mathematician. Arnold conjecture Arnold diffusion Arnold invariants Arnold tongue Arnold web Arnold's cat map...

small push will lift the bottom of the "U" away from the "underline". Vladimir Arnold defines the main goal of singularity theory as describing how objects...

republished in 1999. Smale composed this list in reply to a request from Vladimir Arnold, then vice-president of the International Mathematical Union, who asked...

school in mathematics education lived on, as the Soviet mathematician Vladimir Arnold recalled in a 1995 interview. Before World War II, the share of university-educated...

functions was resolved affirmatively in 1957 by Vladimir Arnold when he proved the Kolmogorov–Arnold representation theorem, but the variant for algebraic...

In mathematics, particularly in dynamical systems, Arnold tongues (named after Vladimir Arnold) are a pictorial phenomenon that occur when visualizing...

can be separated. The theorem is named after Joseph Liouville and Vladimir Arnold.: 270–272  The theorem was proven in its original form by Liouville...

notably Fields Medalist Steve Smale, who responded to a request by Vladimir Arnold to propose a list of 18 problems. At least in the mainstream media...

cardinal and ordinal numbers, which is the largest ordered field. Vladimir Arnold wrote in 1990: Nowadays, when teaching analysis, it is not very popular...

astronomers (such as Laplace, Lagrange, Gauss, Poincaré, Kolmogorov, Vladimir Arnold, and Jürgen Moser) have searched for evidence for the stability of...

canonical form near critical points. It was introduced by Vladimir Arnold in 1975. Vladimir Arnold "Spectral sequence for reduction of functions to normal...

suggesting it is due to Grigory Margulis, and the Arnold's rouble problem referring to Vladimir Arnold and the folding of a Russian ruble bank note. Some...

"Lagrangian and Legendrian singularities"). His thesis advisor was Vladimir Arnold. In 2007 he won the MAIK Nauka award for best research publication...

mathematics, Arnold diffusion is the phenomenon of instability of integrable Hamiltonian systems. The phenomenon is named after Vladimir Arnold who was the...

Ruslan Khasbulatov; and mathematicians and physicists Vladimir Arnold, Boris Demidovich, Vladimir Drinfeld, Vitaly Ginzburg, Andrey Kolmogorov, Grigory...

Prize for its prestige in the geosciences. The inaugural laureates, Vladimir Arnold and Louis Nirenberg, were cited by the Academy for their work in the...

their statistical dispersion (by 29%) during the pre-crisis years. Vladimir Arnold in his book Catastrophe Theory describes "The Principle of Fragility...

and implicitly-defined curves have been generalized by René Thom and Vladimir Arnold to curves defined by differentiable functions: a curve has a cusp at...

a fluid flow that can have chaotic trajectories. It is named after Vladimir Arnold, Eugenio Beltrami, and Stephen Childress. Ippolit S. Gromeka's (1881)...

Steklov Mathematical Institute in Moscow under the supervision of Vladimir Arnold. In his Ph.D. thesis, he developed a topological version of Galois...

around a star, remain in stable or bounded orbits over time? In 1963, Vladimir Arnold proved using KAM theory a kind of stability of the planetary problem:...

The Arnold–Givental conjecture, named after Vladimir Arnold and Alexander Givental, is a statement on Lagrangian submanifolds. It gives a lower bound...