cocycle

cocycle
A cochain that is in the kernel of a coboundary map.

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  • Cocycle — A cocycle refers to any one of the following: A closed cochain in algebraic topology is called a cocycle. A particular type of map in an autonomous dynamical system; see Oseledec theorem. Let G be a graph with vertex set V. A cut is a partition S …   Wikipedia

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  • Čech cohomology — In mathematics, specifically algebraic topology, Čech cohomology is a cohomology theory based on the intersection properties of open covers of a topological space. It is named for the mathematician Eduard Čech. Contents 1 Motivation 2… …   Wikipedia

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  • Oseledets theorem — In mathematics, the multiplicative ergodic theorem, or Oseledets theorem provides the theoretical background for computation of Lyapunov exponents of a nonlinear dynamical system. It was proved by Valery Oseledets (also spelled Oseledec ) in 1965 …   Wikipedia

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  • Random dynamical system — In mathematics, a random dynamical system is a measure theoretic formulation of a dynamical system with an element of randomness , such as the dynamics of solutions to a stochastic differential equation. It consists of a base flow, the noise ,… …   Wikipedia

  • Tensor field — In mathematics, physics and engineering, a tensor field is a very general concept of variable geometric quantity. It is used in differential geometry and the theory of manifolds, in algebraic geometry, in general relativity, in the analysis of… …   Wikipedia

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