ergodic theory
Ergodic theory is a branch of mathematics that studies the behavior of dynamic systems over time, focusing on their average properties. It seeks to understand how a system evolves in the long run, regardless of its starting condition, by examining the statistical properties of orbits or trajectories.
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Related Concepts (30)
- attractor
- chaos theory
- convergence criteria
- dynamical systems
- dynamical systems theory
- entropy theory
- equidistribution
- ergodic theorems
- ergodicity
- information theory
- iterated maps
- kam theory
- logistic map
- lorenz gas
- lyapunov exponent
- lyapunov exponents
- measure theory
- measure-preserving transformations
- metric spaces
- mixing properties
- phase space
- poincaré recurrence theorem
- poincaré section
- probability theory
- random walks
- sensitive dependence on initial conditions
- shift spaces
- statistical mechanics
- symbolic dynamics
- topological dynamics