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The Novikov self-consistency principle, also known as the Novikov self-consistency conjecture and Larry Niven's law of conservation of history, is a principle developed by Russian physicist Igor Dmitriyevich Novikov in the mid-1980s. Novikov intended it to solve the problem of paradoxes in time travel, which is theoretically permitted in certain solutions of general relativity that contain what are known as closed timelike curves.
Sergei Petrovich Novikov (Russian: Серге́й Петро́вич Но́виков) (born 20 March 1938) is a Soviet and Russian mathematician, noted for work in both algebraic topology and soliton theory. In 1970, he won the Fields Medal.
This page concerns mathematician Sergei Novikov's topology conjecture. For astrophysicist Igor Novikov's conjecture regarding time travel, see Novikov self-consistency principle.The Novikov conjecture is one of the most important unsolved problems in topology.
In mathematics, the Adams spectral sequence is a spectral sequence introduced by J. Frank Adams . Like all spectral sequences, it is a computational tool; it relates homology theory to what is now called stable homotopy theory.
Novikov, Novikoff or Novikova (feminine) is one of the most common Russian surnames. Derived from novik - a teenager on military service who comes from a noble, boyar or cossack family in Russia of 16th-18th centuries.
In mathematics, given an additive subgroup Γ ⊂ R {\displaystyle \Gamma \subset \mathbb {R} } , the Novikov ring Nov {\displaystyle \operatorname {Nov} (\Gamma )} of Γ {\displaystyle \Gamma } is the subring of Z [ [ Γ ] ] {\displaystyle \mathbb {Z} [\![\Gamma ]\!]} consisting of formal sums ∑ n γ i t γ i {\displaystyle \sum n_{\gamma _{i}}t^{\gamma _{i}}} such that γ 1 > γ 2 > ⋯ {\displaystyle \gamma _{1}>\gamma _{2}>\cdots } and γ i → − ∞ {\displaystyle \gamma _{i}\to -\infty } . The notion was introduced by S. P. Novikov in the papers that initiated the generalization of Morse theory using a closed one-form instead of a function.
In probability theory, Novikov's condition is the sufficient condition for a stochastic process which takes the form of the Radon–Nikodym derivative in Girsanov's theorem to be a martingale. If satisfied together with other conditions, Girsanov's theorem may be applied to a Brownian motion stochastic process to change from the original measure to the new measure defined by the Radon–Nikodym derivative.
In mathematics, Novikov's compact leaf theorem, named after Sergei Novikov, states that A codimension-one foliation of a compact 3-manifold whose universal covering space is not contractible must have a compact leaf.
In mathematics, the Novikov–Veselov equation is a natural (2+1)-dimensional analogue of the Korteweg–de Vries (KdV) equation. Unlike another (2+1)-dimensional analogue of KdV, the Kadomtsev–Petviashvili equation, it is integrable via the inverse scattering transform for the 2-dimensional stationary Schrödinger equation.
In mathematics, a Novikov–Shubin invariant. introduced by Sergei Novikov and Mikhail Shubin , is an invariant of a compact Riemannian manifold related to the spectrum of the Laplace operator acting on square-integrable differential forms on its universal cover.